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100331311231231 = 2333178794717683
BaseRepresentation
bin10110110100000000110100…
…001010100111000011111111
3111011020120122120211220111121
4112310000310022213003333
5101122312011133344411
6553215322412131411
730063461265142213
oct2664006412470377
9434216576756447
10100331311231231
1129a722a7615983
12b304a69166b67
1343ca281ba79c2
141aac0c05a4943
15b8ecaac65571
hex5b40342a70ff

100331311231231 has 32 divisors (see below), whose sum is σ = 105260247410688. Its totient is φ = 95451265213920.

The previous prime is 100331311231201. The next prime is 100331311231237. The reversal of 100331311231231 is 132132113133001.

It is a cyclic number.

It is not a de Polignac number, because 100331311231231 - 29 = 100331311230719 is a prime.

It is a super-2 number, since 2×1003313112312312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100331311231196 and 100331311231205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331311231237) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5673876316 + ... + 5673893998.

It is an arithmetic number, because the mean of its divisors is an integer number (3289382731584).

Almost surely, 2100331311231231 is an apocalyptic number.

100331311231231 is a deficient number, since it is larger than the sum of its proper divisors (4928936179457).

100331311231231 is a wasteful number, since it uses less digits than its factorization.

100331311231231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19771.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 100331311231231 its reverse (132132113133001), we get a palindrome (232463424364232).

The spelling of 100331311231231 in words is "one hundred trillion, three hundred thirty-one billion, three hundred eleven million, two hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 23 331 787 947 7613 17683 18101 21781 260497 313457 406709 745289 5853073 5991431 7209511 13916521 16745801 17141647 134620679 246690659 320079983 385153423 4606368451 5542860131 5673885157 13178945387 105946474373 127485783013 303115743901 4362230923097 100331311231231