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213201440104240 = 2457439539928177
BaseRepresentation
bin110000011110011111010100…
…000110100101111100110000
31000221212212011221020010222101
4300132133110012211330300
5210421043022131313430
62033235220042350144
762623203302606650
oct6036372406457460
91027785157203871
10213201440104240
1161a2924a874935
121bab3a4aabb354
1391c6a6a717043
143a9100d0bc360
15199acd3312dca
hexc1e7d41a5f30

213201440104240 has 160 divisors (see below), whose sum is σ = 579742651952640. Its totient is φ = 71390129836032.

The previous prime is 213201440104201. The next prime is 213201440104259. The reversal of 213201440104240 is 42401044102312.

213201440104240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 213201440104199 and 213201440104208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229235032 + ... + 230163208.

It is an arithmetic number, because the mean of its divisors is an integer number (3623391574704).

Almost surely, 2213201440104240 is an apocalyptic number.

213201440104240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213201440104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289871325976320).

213201440104240 is an abundant number, since it is smaller than the sum of its proper divisors (366541211848400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213201440104240 is a wasteful number, since it uses less digits than its factorization.

213201440104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937779 (or 937773 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 213201440104240 its reverse (42401044102312), we get a palindrome (255602484206552).

The spelling of 213201440104240 in words is "two hundred thirteen trillion, two hundred one billion, four hundred forty million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 9539 12040 19078 24080 38156 47695 66773 76312 95390 133546 152624 190780 267092 333865 381560 410177 534184 667730 763120 820354 928177 1068368 1335460 1640708 1856354 2050885 2670920 2871239 3281416 3712708 4101770 4640885 5341840 5742478 6497239 6562832 7425416 8203540 9281770 11484956 12994478 14356195 14850832 16407080 18563540 22969912 25988956 28712390 32486195 32814160 37127080 39911611 45939824 51977912 57424780 64972390 74254160 79823222 103955824 114849560 129944780 159646444 199558055 229699120 259889560 279381277 319292888 399116110 519779120 558762554 638585776 798232220 1117525108 1396906385 1596464440 2235050216 2793812770 3192928880 4470100432 5587625540 8853880403 11175251080 17707760806 22350502160 35415521612 44269402015 61977162821 70831043224 88538804030 123954325642 141662086448 177077608060 247908651284 309885814105 354155216120 380716857329 495817302568 619771628210 708310432240 761433714658 991634605136 1239543256420 1522867429316 1903584286645 2479086512840 2665018001303 3045734858632 3807168573290 4958173025680 5330036002606 6091469717264 7614337146580 10660072005212 13325090006515 15228674293160 21320144010424 26650180013030 30457348586320 42640288020848 53300360026060 106600720052120 213201440104240