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10041120131 = 723110165449
BaseRepresentation
bin10010101100111111…
…10101010110000011
3221220210010202100012
421112133311112003
5131031011321011
64340212015135
7503554053500
oct112637652603
927823122305
1010041120131
114292a50199
121b429014ab
13c40386b03
146b37c84a7
153db7d1a8b
hex2567f5583

10041120131 has 24 divisors (see below), whose sum is σ = 12176841600. Its totient is φ = 8246448000.

The previous prime is 10041120119. The next prime is 10041120149. The reversal of 10041120131 is 13102114001.

It is a de Polignac number, because none of the positive numbers 2k-10041120131 is a prime.

It is a super-2 number, since 2×100411201312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10041120031) 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 23 ways as a sum of consecutive naturals, for example, 120695 + ... + 186143.

It is an arithmetic number, because the mean of its divisors is an integer number (507368400).

Almost surely, 210041120131 is an apocalyptic number.

10041120131 is a deficient number, since it is larger than the sum of its proper divisors (2135721469).

10041120131 is a wasteful number, since it uses less digits than its factorization.

10041120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65595 (or 65588 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10041120131 its reverse (13102114001), we get a palindrome (23143234132).

The spelling of 10041120131 in words is "ten billion, forty-one million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 31 49 101 217 707 1519 3131 4949 21917 65449 153419 458143 2028919 3207001 6610349 14202433 46272443 99417031 204920819 323907101 1434445733 10041120131