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10113211031 = 711131340403
BaseRepresentation
bin10010110101100101…
…10101101010010111
3222002210210100110112
421122302311222113
5131202440223111
64351305113235
7505420606160
oct113262655227
928083710415
1010113211031
11431a70a150
121b62a8881b
13c522a8251
146bd1d2767
153e2cc1e8b
hex25acb5a97

10113211031 has 8 divisors (see below), whose sum is σ = 12608678784. Its totient is φ = 7880424120.

The previous prime is 10113211027. The next prime is 10113211051. The reversal of 10113211031 is 13011231101.

It is a happy number.

10113211031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10113211031 - 22 = 10113211027 is a prime.

It is a super-2 number, since 2×101132110312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10113210997 and 10113211015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113211051) 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 7 ways as a sum of consecutive naturals, for example, 65670125 + ... + 65670278.

It is an arithmetic number, because the mean of its divisors is an integer number (1576084848).

Almost surely, 210113211031 is an apocalyptic number.

10113211031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10113211031 is a deficient number, since it is larger than the sum of its proper divisors (2495467753).

10113211031 is a wasteful number, since it uses less digits than its factorization.

10113211031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131340421.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10113211031 its reverse (13011231101), we get a palindrome (23124442132).

The spelling of 10113211031 in words is "ten billion, one hundred thirteen million, two hundred eleven thousand, thirty-one".

Divisors: 1 7 11 77 131340403 919382821 1444744433 10113211031