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10042031131 = 111009904769
BaseRepresentation
bin10010101101000110…
…10011110000011011
3221220211212000222221
421112203103300123
5131031224444011
64340243324511
7503564566456
oct112643236033
927824760887
1010042031131
114293512690
121b43080737
13c40615672
146b398449d
153db911971
hex2568d3c1b

10042031131 has 8 divisors (see below), whose sum is σ = 10965812400. Its totient is φ = 9120061440.

The previous prime is 10042031071. The next prime is 10042031143. The reversal of 10042031131 is 13113024001.

10042031131 is digitally balanced in base 2, 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 10042031131 - 211 = 10042029083 is a prime.

It is a super-2 number, since 2×100420311312 (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 (10042031171) 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 7 ways as a sum of consecutive naturals, for example, 441286 + ... + 463483.

It is an arithmetic number, because the mean of its divisors is an integer number (1370726550).

Almost surely, 210042031131 is an apocalyptic number.

10042031131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10042031131 is a deficient number, since it is larger than the sum of its proper divisors (923781269).

10042031131 is a wasteful number, since it uses less digits than its factorization.

10042031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905789.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10042031131 its reverse (13113024001), we get a palindrome (23155055132).

The spelling of 10042031131 in words is "ten billion, forty-two million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 11 1009 11099 904769 9952459 912911921 10042031131