Search a number
-
+
31188113 = 1121132281
BaseRepresentation
bin111011011111…
…0010010010001
32011200112001022
41312332102101
530441004423
63032245225
7526044305
oct166762221
964615038
1031188113
1116672100
12a540815
1365cca08
1441dbd05
152b10dc8
hex1dbe491

31188113 has 12 divisors (see below), whose sum is σ = 34599684. Its totient is φ = 28089600.

The previous prime is 31188107. The next prime is 31188193.

31188113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 23746129 = 2728^2 + 4873^2 .

It is not a de Polignac number, because 31188113 - 24 = 31188097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31188193) 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, 12533 + ... + 14813.

It is an arithmetic number, because the mean of its divisors is an integer number (2883307).

Almost surely, 231188113 is an apocalyptic number.

It is an amenable number.

31188113 is a deficient number, since it is larger than the sum of its proper divisors (3411571).

31188113 is a wasteful number, since it uses less digits than its factorization.

31188113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2405 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

The square root of 31188113 is about 5584.6318589501. The cubic root of 31188113 is about 314.7721977732.

The spelling of 31188113 in words is "thirty-one million, one hundred eighty-eight thousand, one hundred thirteen".

Divisors: 1 11 113 121 1243 2281 13673 25091 257753 276001 2835283 31188113