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10013021131 = 175312798689
BaseRepresentation
bin10010101001101001…
…01001001111001011
3221211211021011202111
421110310221033023
5131001313134011
64333325443151
7503063163301
oct112464511713
927754234674
1010013021131
1142790a8a83
121b354104b7
13c375c9199
146adb92271
153d90d1121
hex254d293cb

10013021131 has 16 divisors (see below), whose sum is σ = 10811750400. Its totient is φ = 9237915648.

The previous prime is 10013021119. The next prime is 10013021153. The reversal of 10013021131 is 13112031001.

10013021131 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 not a de Polignac number, because 10013021131 - 27 = 10013021003 is a prime.

It is a super-2 number, since 2×100130211312 (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 (10013021101) 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, 1148035 + ... + 1156723.

It is an arithmetic number, because the mean of its divisors is an integer number (675734400).

Almost surely, 210013021131 is an apocalyptic number.

10013021131 is a deficient number, since it is larger than the sum of its proper divisors (798729269).

10013021131 is a wasteful number, since it uses less digits than its factorization.

10013021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10013021131 its reverse (13112031001), we get a palindrome (23125052132).

The spelling of 10013021131 in words is "ten billion, thirteen million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 17 53 901 1279 8689 21743 67787 147713 460517 1152379 7828789 11113231 188924927 589001243 10013021131