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10130101431 = 347587122393
BaseRepresentation
bin10010110111100110…
…10001010010110111
3222010222120110201220
421123303101102313
5131221301221211
64353111121423
7506014304262
oct113363212267
928128513656
1010130101431
1143291a615a
121b68673273
13c55940178
146c154bcd9
153e450b806
hex25bcd14b7

10130101431 has 16 divisors (see below), whose sum is σ = 13817793024. Its totient is φ = 6598397504.

The previous prime is 10130101369. The next prime is 10130101441. The reversal of 10130101431 is 13410103101.

It is a cyclic number.

It is not a de Polignac number, because 10130101431 - 217 = 10129970359 is a prime.

It is a super-2 number, since 2×101301014312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10130101431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130101441) 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 15 ways as a sum of consecutive naturals, for example, 21571 + ... + 143963.

It is an arithmetic number, because the mean of its divisors is an integer number (863612064).

Almost surely, 210130101431 is an apocalyptic number.

10130101431 is a deficient number, since it is larger than the sum of its proper divisors (3687691593).

10130101431 is a wasteful number, since it uses less digits than its factorization.

10130101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123030.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10130101431 its reverse (13410103101), we get a palindrome (23540204532).

The spelling of 10130101431 in words is "ten billion, one hundred thirty million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 3 47 141 587 1761 27589 82767 122393 367179 5752471 17257413 71844691 215534073 3376700477 10130101431