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10042100131 = 721093136007
BaseRepresentation
bin10010101101000111…
…00100100110100011
3221220211222112122111
421112203210212203
5131031234201011
64340245020151
7503565304600
oct112643444643
927824875574
1010042100131
11429355a508
121b430b4657
13c4063abab
146b39a16a7
153db927121
hex2568e49a3

10042100131 has 24 divisors (see below), whose sum is σ = 11828430240. Its totient is φ = 8499883392.

The previous prime is 10042100129. The next prime is 10042100161. The reversal of 10042100131 is 13100124001.

It is not a de Polignac number, because 10042100131 - 21 = 10042100129 is a prime.

It is a super-2 number, since 2×100421001312 (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 (10042100161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668730 + ... + 1674736.

It is an arithmetic number, because the mean of its divisors is an integer number (492851260).

Almost surely, 210042100131 is an apocalyptic number.

10042100131 is a deficient number, since it is larger than the sum of its proper divisors (1786330109).

10042100131 is a wasteful number, since it uses less digits than its factorization.

10042100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10042100131 its reverse (13100124001), we get a palindrome (23142224132).

The spelling of 10042100131 in words is "ten billion, forty-two million, one hundred thousand, one hundred thirty-one".

Divisors: 1 7 49 109 313 763 2191 5341 6007 15337 34117 42049 238819 294343 654763 1671733 1880191 4583341 13161337 32083387 92129359 204940819 1434585733 10042100131