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10132130131 = 238310634993
BaseRepresentation
bin10010110111110110…
…00000100101010011
3222011010101112120221
421123323000211103
5131222311131011
64353222413511
7506040453664
oct113373004523
928133345527
1010132130131
11432a361372
121b69291297
13c561a0696
146c191936b
153e47ac971
hex25bec0953

10132130131 has 16 divisors (see below), whose sum is σ = 10712249856. Its totient is φ = 9563913216.

The previous prime is 10132130111. The next prime is 10132130137. The reversal of 10132130131 is 13103123101.

10132130131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10132130131 is a prime.

It is a super-2 number, since 2×101321301312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132130137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026771 + ... + 2031763.

It is an arithmetic number, because the mean of its divisors is an integer number (669515616).

Almost surely, 210132130131 is an apocalyptic number.

10132130131 is a deficient number, since it is larger than the sum of its proper divisors (580119725).

10132130131 is a wasteful number, since it uses less digits than its factorization.

10132130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10132130131 its reverse (13103123101), we get a palindrome (23235253232).

The spelling of 10132130131 in words is "ten billion, one hundred thirty-two million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 23 83 1063 1909 4993 24449 88229 114839 414419 2029267 5307559 9531637 122073857 440527397 10132130131