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131413225 = 5226919541
BaseRepresentation
bin1111101010100…
…11010011101001
3100011021111001111
413311103103221
5232120210400
621012350321
73153664636
oct765232351
9304244044
10131413225
11681a7779
12380153a1
13212c1b08
141364b18d
15b80c3ba
hex7d534e9

131413225 has 12 divisors (see below), whose sum is σ = 163566540. Its totient is φ = 104734400.

The previous prime is 131413223. The next prime is 131413229. The reversal of 131413225 is 522314131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34351321 + 97061904 = 5861^2 + 9852^2 .

It is not a de Polignac number, because 131413225 - 21 = 131413223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131413196 and 131413205.

It is not an unprimeable number, because it can be changed into a prime (131413223) 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, 3046 + ... + 16495.

It is an arithmetic number, because the mean of its divisors is an integer number (13630545).

Almost surely, 2131413225 is an apocalyptic number.

It is an amenable number.

131413225 is a deficient number, since it is larger than the sum of its proper divisors (32153315).

131413225 is a wasteful number, since it uses less digits than its factorization.

131413225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19820 (or 19815 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 131413225 is about 11463.5607469931. The cubic root of 131413225 is about 508.4087594489.

Adding to 131413225 its reverse (522314131), we get a palindrome (653727356).

The spelling of 131413225 in words is "one hundred thirty-one million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 25 269 1345 6725 19541 97705 488525 5256529 26282645 131413225