Search a number
-
+
10145317131 = 327315441883
BaseRepresentation
bin10010111001011010…
…10100000100001011
3222012001012111202100
421130231110010023
5131234200122011
64354413204443
7506260526025
oct113455240413
928161174670
1010145317131
114336848a14
121b71790723
13c58b39a41
146c358d015
153e5a14d56
hex25cb5410b

10145317131 has 12 divisors (see below), whose sum is σ = 14855092408. Its totient is φ = 6670893024.

The previous prime is 10145317111. The next prime is 10145317141. The reversal of 10145317131 is 13171354101.

10145317131 is a `hidden beast` number, since 10 + 1 + 453 + 171 + 31 = 666.

10145317131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145317131 - 214 = 10145300747 is a prime.

It is a super-2 number, since 2×101453171312 (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 = 10145317095 and 10145317104.

It is not an unprimeable number, because it can be changed into a prime (10145317111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7720285 + ... + 7721598.

Almost surely, 210145317131 is an apocalyptic number.

10145317131 is a deficient number, since it is larger than the sum of its proper divisors (4709775277).

10145317131 is a wasteful number, since it uses less digits than its factorization.

10145317131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441962 (or 15441959 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10145317131 in words is "ten billion, one hundred forty-five million, three hundred seventeen thousand, one hundred thirty-one".

Divisors: 1 3 9 73 219 657 15441883 46325649 138976947 1127257459 3381772377 10145317131