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10023131131 = 137129093733
BaseRepresentation
bin10010101010110110…
…01101011111111011
3221212112021211001221
421111123031133323
5131011410144011
64334330252511
7503245131436
oct112533153773
927775254057
1010023131131
114283883852
121b38887137
13c39728b30
146b126481d
153d9e2b971
hex2556cd7fb

10023131131 has 16 divisors (see below), whose sum is σ = 10952867520. Its totient is φ = 9116231040.

The previous prime is 10023131113. The next prime is 10023131143. The reversal of 10023131131 is 13113132001.

It is a cyclic number.

It is not a de Polignac number, because 10023131131 - 29 = 10023130619 is a prime.

It is a super-2 number, since 2×100231311312 (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 (10023131231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2683141 + ... + 2686873.

It is an arithmetic number, because the mean of its divisors is an integer number (684554220).

Almost surely, 210023131131 is an apocalyptic number.

10023131131 is a deficient number, since it is larger than the sum of its proper divisors (929736389).

10023131131 is a wasteful number, since it uses less digits than its factorization.

10023131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726.

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

Adding to 10023131131 its reverse (13113132001), we get a palindrome (23136263132).

The spelling of 10023131131 in words is "ten billion, twenty-three million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 71 923 2909 3733 37817 48529 206539 265043 2685007 3445559 10859297 141170861 771010087 10023131131