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131130128 = 2422813593
BaseRepresentation
bin1111101000011…
…10001100010000
3100010202002201102
413310032030100
5232032131003
621002323532
73151405403
oct764161420
9303662642
10131130128
1168024008
1237ab95a8
1321222cbc
14135b5d3a
15b7a3588
hex7d0e310

131130128 has 20 divisors (see below), whose sum is σ = 254246748. Its totient is φ = 65518080.

The previous prime is 131130127. The next prime is 131130169. The reversal of 131130128 is 821031131.

It can be written as a sum of positive squares in 2 ways, for example, as 60031504 + 71098624 = 7748^2 + 8432^2 .

It is a super-4 number, since 4×1311301284 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131130121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34700 + ... + 38292.

Almost surely, 2131130128 is an apocalyptic number.

It is an amenable number.

131130128 is a deficient number, since it is larger than the sum of its proper divisors (123116620).

131130128 is a wasteful number, since it uses less digits than its factorization.

131130128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 131130128 is about 11451.2063993275. The cubic root of 131130128 is about 508.0434170427.

Adding to 131130128 its reverse (821031131), we get a palindrome (952161259).

The spelling of 131130128 in words is "one hundred thirty-one million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 2281 3593 4562 7186 9124 14372 18248 28744 36496 57488 8195633 16391266 32782532 65565064 131130128