Search a number
-
+
10041531131 = 79509249721
BaseRepresentation
bin10010101101000010…
…11001101011111011
3221220210220122010102
421112201121223323
5131031112444011
64340224510015
7503560414652
oct112641315373
927823818112
1010041531131
114293200a65
121b42a7b30b
13c4049bbc8
146b3894199
153db86373b
hex256859afb

10041531131 has 8 divisors (see below), whose sum is σ = 10188657600. Its totient is φ = 9894905280.

The previous prime is 10041531089. The next prime is 10041531139. The reversal of 10041531131 is 13113514001.

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 10041531131 - 230 = 8967789307 is a prime.

It is a super-2 number, since 2×100415311312 (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 (10041531139) 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, 84650 + ... + 165071.

It is an arithmetic number, because the mean of its divisors is an integer number (1273582200).

Almost surely, 210041531131 is an apocalyptic number.

10041531131 is a deficient number, since it is larger than the sum of its proper divisors (147126469).

10041531131 is an equidigital number, since it uses as much as digits as its factorization.

10041531131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250309.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 10041531131 in words is "ten billion, forty-one million, five hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 79 509 40211 249721 19727959 127107989 10041531131