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131129530 = 2574739857
BaseRepresentation
bin1111101000011…
…10000010111010
3100010202001220021
413310032002322
5232032121110
621002321054
73151403560
oct764160272
9303661807
10131129530
1168023614
1237ab918a
132122294c
14135b5a30
15b7a32da
hex7d0e0ba

131129530 has 32 divisors (see below), whose sum is σ = 275498496. Its totient is φ = 44001024.

The previous prime is 131129527. The next prime is 131129533. The reversal of 131129530 is 35921131.

It is an interprime number because it is at equal distance from previous prime (131129527) and next prime (131129533).

It is a junction number, because it is equal to n+sod(n) for n = 131129495 and 131129504.

It is not an unprimeable number, because it can be changed into a prime (131129533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16639 + ... + 23218.

It is an arithmetic number, because the mean of its divisors is an integer number (8609328).

Almost surely, 2131129530 is an apocalyptic number.

131129530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131129530 is an abundant number, since it is smaller than the sum of its proper divisors (144368966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131129530 is a wasteful number, since it uses less digits than its factorization.

131129530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39918.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 131129530 is about 11451.1802885117. The cubic root of 131129530 is about 508.0426447553.

The spelling of 131129530 in words is "one hundred thirty-one million, one hundred twenty-nine thousand, five hundred thirty".

Divisors: 1 2 5 7 10 14 35 47 70 94 235 329 470 658 1645 3290 39857 79714 199285 278999 398570 557998 1394995 1873279 2789990 3746558 9366395 13112953 18732790 26225906 65564765 131129530