Search a number
-
+
10000320112240 = 2452941161365179
BaseRepresentation
bin1001000110000110000110…
…0001110010011001110000
31022102000120111120122021021
42101201201201302121300
52302321123422042430
633134030022105224
72051333153301163
oct221414141623160
938360514518237
1010000320112240
113206125aa5097
121156166b7b214
13577045578853
14268037859ada
151251e80c607a
hex91861872670

10000320112240 has 160 divisors (see below), whose sum is σ = 24654793867200. Its totient is φ = 3765598986240.

The previous prime is 10000320112229. The next prime is 10000320112271. The reversal of 10000320112240 is 4221102300001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153395971 + ... + 153461149.

It is an arithmetic number, because the mean of its divisors is an integer number (154092461670).

Almost surely, 210000320112240 is an apocalyptic number.

10000320112240 is a gapful number since it is divisible by the number (10) 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 10000320112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327396933600).

10000320112240 is an abundant number, since it is smaller than the sum of its proper divisors (14654473754960).

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

10000320112240 is a wasteful number, since it uses less digits than its factorization.

10000320112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66875 (or 66869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10000320112240 its reverse (4221102300001), we get a palindrome (14221422412241).

The spelling of 10000320112240 in words is "ten trillion, three hundred twenty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 41 58 80 82 116 145 164 205 232 290 328 410 464 580 656 820 1160 1189 1613 1640 2320 2378 3226 3280 4756 5945 6452 8065 9512 11890 12904 16130 19024 23780 25808 32260 46777 47560 64520 65179 66133 93554 95120 129040 130358 132266 187108 233885 260716 264532 325895 330665 374216 467770 521432 529064 651790 661330 748432 935540 1042864 1058128 1303580 1322660 1871080 1890191 1917857 2607160 2645320 2672339 3742160 3780382 3835714 5214320 5290640 5344678 7560764 7671428 9450955 9589285 10689356 13361695 15121528 15342856 18901910 19178570 21378712 26723390 30243056 30685712 37803820 38357140 42757424 53446780 75607640 76714280 77497831 105133727 106893560 151215280 153428560 154995662 210267454 213787120 309991324 387489155 420534908 525668635 619982648 774978310 841069816 1051337270 1239965296 1549956620 1682139632 2102674540 3048878083 3099913240 4205349080 4310482807 6097756166 6199826480 8410698160 8620965614 12195512332 15244390415 17241931228 21552414035 24391024664 30488780830 34483862456 43104828070 48782049328 60977561660 68967724912 86209656140 121955123320 125004001403 172419312280 243910246640 250008002806 344838624560 500016005612 625020007015 1000032011224 1250040014030 2000064022448 2500080028060 5000160056120 10000320112240