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10135331531 = 1310375110079
BaseRepresentation
bin10010111000001110…
…01110001011001011
3222011100102012002022
421130013032023023
5131224121102111
64353415155055
7506106616343
oct113407161313
928140365068
1010135331531
114331148656
121b6a375a8b
13c56a518c0
146c210dd23
153e4be12db
hex25c1ce2cb

10135331531 has 16 divisors (see below), whose sum is σ = 11036712960. Its totient is φ = 9251604000.

The previous prime is 10135331447. The next prime is 10135331543. The reversal of 10135331531 is 13513353101.

10135331531 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 10135331531 - 226 = 10068222667 is a prime.

It is a super-2 number, since 2×101353315312 (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 10135331531.

It is not an unprimeable number, because it can be changed into a prime (10135331581) 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, 1000550 + ... + 1010628.

It is an arithmetic number, because the mean of its divisors is an integer number (689794560).

Almost surely, 210135331531 is an apocalyptic number.

10135331531 is a deficient number, since it is larger than the sum of its proper divisors (901381429).

10135331531 is a wasteful number, since it uses less digits than its factorization.

10135331531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946.

The product of its (nonzero) digits is 2025, while the sum is 26.

Adding to 10135331531 its reverse (13513353101), we get a palindrome (23648684632).

The spelling of 10135331531 in words is "ten billion, one hundred thirty-five million, three hundred thirty-one thousand, five hundred thirty-one".

Divisors: 1 13 103 751 1339 9763 10079 77353 131027 1005589 1038137 7569329 13495781 98401277 779640887 10135331531