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10411312431 = 3132176471867
BaseRepresentation
bin10011011001001000…
…00000010100101111
3222212120201110201010
421230210000110233
5132310243444211
64441034320303
7516000460362
oct115444002457
928776643633
1010411312431
114462a07143
122026889093
13c9bc8cb00
1470aa300d9
1540e0584a6
hex26c90052f

10411312431 has 48 divisors (see below), whose sum is σ = 15949073664. Its totient is φ = 6017536512.

The previous prime is 10411312391. The next prime is 10411312453. The reversal of 10411312431 is 13421311401.

It is not a de Polignac number, because 10411312431 - 26 = 10411312367 is a prime.

It is a super-2 number, since 2×104113124312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10411312398 and 10411312407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411312631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5575560 + ... + 5577426.

It is an arithmetic number, because the mean of its divisors is an integer number (332272368).

Almost surely, 210411312431 is an apocalyptic number.

10411312431 is a deficient number, since it is larger than the sum of its proper divisors (5537761233).

10411312431 is a wasteful number, since it uses less digits than its factorization.

10411312431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10411312431 its reverse (13421311401), we get a palindrome (23832623832).

The spelling of 10411312431 in words is "ten billion, four hundred eleven million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 13 17 39 51 169 221 507 647 663 1867 1941 2873 5601 8411 8619 10999 24271 25233 31739 32997 72813 95217 109343 142987 315523 328029 412607 428961 946569 1207949 1237821 1858831 3623847 5363891 5576493 15703337 16091673 20535133 47110011 61605399 204143381 266956729 612430143 800870187 3470437477 10411312431