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100332231103131 = 31710770192619457
BaseRepresentation
bin10110110100000001101010…
…111111101001001010011011
3111011020200000200202020112020
4112310001222333221022123
5101122320402130300011
6553215553552145523
730063523135004406
oct2664015277511233
9434220020666466
10100332231103131
1129a72729890295
12b3050852382a3
1343ca39a63b3c1
141aac16a814d3d
15b8ed118ba006
hex5b406afe929b

100332231103131 has 32 divisors (see below), whose sum is σ = 142989715964160. Its totient is φ = 62356296769536.

The previous prime is 100332231103043. The next prime is 100332231103177. The reversal of 100332231103131 is 131301132233001.

It is not a de Polignac number, because 100332231103131 - 219 = 100332230578843 is a prime.

It is a super-2 number, since 2×1003322311031312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100332231103231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36992955 + ... + 39612411.

It is an arithmetic number, because the mean of its divisors is an integer number (4468428623880).

Almost surely, 2100332231103131 is an apocalyptic number.

100332231103131 is a deficient number, since it is larger than the sum of its proper divisors (42657484861029).

100332231103131 is a wasteful number, since it uses less digits than its factorization.

100332231103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626603.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 100332231103131 its reverse (131301132233001), we get a palindrome (231633363336132).

The spelling of 100332231103131 in words is "one hundred trillion, three hundred thirty-two billion, two hundred thirty-one million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 17 51 107 321 1819 5457 7019 21057 119323 357969 751033 2253099 2619457 7858371 12767561 38302683 44530769 133592307 280281899 840845697 4764792283 14294376849 18385968683 55157906049 312561467611 937684402833 1967298649081 5901895947243 33444077034377 100332231103131