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10130312431 = 416783157283
BaseRepresentation
bin10010110111101000…
…00100110011101111
3222010222222012011201
421123310010303233
5131221324444211
64353115430331
7506016143401
oct113364046357
928128865151
1010130312431
11432932a738
121b687553a7
13c559b5215
146c15a4b71
153e454e0c1
hex25bd04cef

10130312431 has 32 divisors (see below), whose sum is σ = 10764972288. Its totient is φ = 9523388160.

The previous prime is 10130312417. The next prime is 10130312443. The reversal of 10130312431 is 13421303101.

It is a de Polignac number, because none of the positive numbers 2k-10130312431 is a prime.

It is a super-2 number, since 2×101303124312 (a number of 21 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 = 10130312399 and 10130312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130312131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35796016 + ... + 35796298.

It is an arithmetic number, because the mean of its divisors is an integer number (336405384).

Almost surely, 210130312431 is an apocalyptic number.

10130312431 is a deficient number, since it is larger than the sum of its proper divisors (634659857).

10130312431 is a wasteful number, since it uses less digits than its factorization.

10130312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10130312431 its reverse (13421303101), we get a palindrome (23551615532).

The spelling of 10130312431 in words is "ten billion, one hundred thirty million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 41 67 83 157 283 2747 3403 5561 6437 10519 11603 13031 18961 23489 44431 228001 431279 534271 777401 873077 963049 1573763 1821671 2976877 3687773 35796157 64524283 122051957 151198693 247080791 10130312431