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131101093 = 172453637
BaseRepresentation
bin1111101000001…
…11000110100101
3100010200121220001
413310013012211
5232030213333
621001541301
73151224634
oct764070645
9303617801
10131101093
1168004212
1237aa4831
1321212a16
14135a951b
15b799b7d
hex7d071a5

131101093 has 6 divisors (see below), whose sum is σ = 139266866. Its totient is φ = 123388992.

The previous prime is 131101079. The next prime is 131101133. The reversal of 131101093 is 390101131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 72624484 + 58476609 = 8522^2 + 7647^2 .

It is a de Polignac number, because none of the positive numbers 2k-131101093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131101093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226530 + ... + 227107.

Almost surely, 2131101093 is an apocalyptic number.

It is an amenable number.

131101093 is a deficient number, since it is larger than the sum of its proper divisors (8165773).

131101093 is an equidigital number, since it uses as much as digits as its factorization.

131101093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453671 (or 453654 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 131101093 is about 11449.9385587871. The cubic root of 131101093 is about 508.0059170679.

The spelling of 131101093 in words is "one hundred thirty-one million, one hundred one thousand, ninety-three".

Divisors: 1 17 289 453637 7711829 131101093