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100200211331232 = 25346320811083289
BaseRepresentation
bin10110110010000110101110…
…000000001011100010100000
3111010210001021000020221201210
4112302012232000023202200
5101113140013100044412
6553035201442230120
730051140434316265
oct2662065600134240
9433701230227653
10100200211331232
1129a2174209a691
12b2a3580055340
1343baabb188b8c
141aa5a04dc526c
15b8b68658a83c
hex5b21ae00b8a0

100200211331232 has 96 divisors (see below), whose sum is σ = 263720554755840. Its totient is φ = 33311885967360.

The previous prime is 100200211331203. The next prime is 100200211331239. The reversal of 100200211331232 is 232133112002001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100200211331199 and 100200211331208.

It is not an unprimeable number, because it can be changed into a prime (100200211331239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91954644 + ... + 93037932.

It is an arithmetic number, because the mean of its divisors is an integer number (2747089112040).

Almost surely, 2100200211331232 is an apocalyptic number.

100200211331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200211331232 is an abundant number, since it is smaller than the sum of its proper divisors (163520343424608).

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

100200211331232 is a wasteful number, since it uses less digits than its factorization.

100200211331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085846 (or 1085838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100200211331232 its reverse (232133112002001), we get a palindrome (332333323333233).

The spelling of 100200211331232 in words is "one hundred trillion, two hundred billion, two hundred eleven million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 463 926 1389 1852 2081 2778 3704 4162 5556 6243 7408 8324 11112 12486 14816 16648 22224 24972 33296 44448 49944 66592 99888 199776 963503 1083289 1927006 2166578 2890509 3249867 3854012 4333156 5781018 6499734 7708024 8666312 11562036 12999468 15416048 17332624 23124072 25998936 30832096 34665248 46248144 51997872 92496288 103995744 501562807 1003125614 1504688421 2006251228 2254324409 3009376842 4012502456 4508648818 6018753684 6762973227 8025004912 9017297636 12037507368 13525946454 16050009824 18034595272 24075014736 27051892908 36069190544 48150029472 54103785816 72138381088 108207571632 216415143264 1043752201367 2087504402734 3131256604101 4175008805468 6262513208202 8350017610936 12525026416404 16700035221872 25050052832808 33400070443744 50100105665616 100200211331232