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103233031102331 = 13892393547105251
BaseRepresentation
bin10111011110001111010000…
…001001011101111101111011
3111112111222111102201100022122
4113132033100021131331323
5102012332221430233311
61003320333315311455
730513224514114254
oct2736172011357573
9445458442640278
10103233031102331
112a990978861129
12b6b33052ab58b
13457aaaa311280
141b6c710a15b2b
15be04dc24b0db
hex5de3d025df7b

103233031102331 has 32 divisors (see below), whose sum is σ = 112926470630400. Its totient is φ = 93799756512000.

The previous prime is 103233031102273. The next prime is 103233031102339. The reversal of 103233031102331 is 133201130332301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103233031102331 is a prime.

It is a super-2 number, since 2×1032330311023312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103233031102331.

It is not an unprimeable number, because it can be changed into a prime (103233031102339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980774456 + ... + 980879706.

It is an arithmetic number, because the mean of its divisors is an integer number (3528952207200).

Almost surely, 2103233031102331 is an apocalyptic number.

103233031102331 is a deficient number, since it is larger than the sum of its proper divisors (9693439528069).

103233031102331 is a wasteful number, since it uses less digits than its factorization.

103233031102331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109139.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 103233031102331 its reverse (133201130332301), we get a palindrome (236434161434632).

The spelling of 103233031102331 in words is "one hundred three trillion, two hundred thirty-three billion, thirty-one million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 13 89 239 1157 3107 3547 21271 46111 105251 276523 315683 847733 1368263 4103879 9367339 11020529 25154989 75448237 121775407 327014857 373325297 980827081 2238794021 4853228861 29104322273 33225951433 89224745983 431937368629 1159921697779 7941002392487 103233031102331