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23006361035100 = 22352474193894169
BaseRepresentation
bin1010011101100100101011…
…11110100010000101011100
310000110101102212010211211110
411032302111332202011130
511003414011411110400
6120532550520422020
74563104034131562
oct516622576420534
9100411385124743
1023006361035100
11736aa41036613
1226b6953917910
13cab64b92a621
14597729ca3a32
1529d6acc7ae50
hex14ec95fa215c

23006361035100 has 144 divisors (see below), whose sum is σ = 68143613529600. Its totient is φ = 5990164984320.

The previous prime is 23006361035059. The next prime is 23006361035209. The reversal of 23006361035100 is 153016360032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3960816 + ... + 7854984.

It is an arithmetic number, because the mean of its divisors is an integer number (473219538400).

Almost surely, 223006361035100 is an apocalyptic number.

23006361035100 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 23006361035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34071806764800).

23006361035100 is an abundant number, since it is smaller than the sum of its proper divisors (45137252494500).

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

23006361035100 is a wasteful number, since it uses less digits than its factorization.

23006361035100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894652 (or 3894645 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 23006361035100 its reverse (153016360032), we get a palindrome (23159377395132).

The spelling of 23006361035100 in words is "twenty-three trillion, six billion, three hundred sixty-one million, thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 419 470 564 705 838 940 1175 1257 1410 1676 2095 2350 2514 2820 3525 4190 4700 5028 6285 7050 8380 10475 12570 14100 19693 20950 25140 31425 39386 41900 59079 62850 78772 98465 118158 125700 196930 236316 295395 393860 492325 590790 984650 1181580 1476975 1969300 2953950 3894169 5907900 7788338 11682507 15576676 19470845 23365014 38941690 46730028 58412535 77883380 97354225 116825070 183025943 194708450 233650140 292062675 366051886 389416900 549077829 584125350 732103772 915129715 1098155658 1168250700 1631656811 1830259430 2196311316 2745389145 3263313622 3660518860 4575648575 4894970433 5490778290 6526627244 8158284055 9151297150 9789940866 10981556580 13726945725 16316568110 18302594300 19579881732 24474852165 27453891450 32633136220 40791420275 48949704330 54907782900 76687870117 81582840550 97899408660 122374260825 153375740234 163165681100 230063610351 244748521650 306751480468 383439350585 460127220702 489497043300 766878701170 920254441404 1150318051755 1533757402340 1917196752925 2300636103510 3834393505850 4601272207020 5751590258775 7668787011700 11503180517550 23006361035100