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131127380 = 2256556369
BaseRepresentation
bin1111101000011…
…01100001010100
3100010201221221122
413310031201110
5232032034010
621002303112
73151364366
oct764154124
9303657848
10131127380
1168021a3a
1237ab7a98
1321221987
14135b4d36
15b7a2855
hex7d0d854

131127380 has 12 divisors (see below), whose sum is σ = 275367540. Its totient is φ = 52450944.

The previous prime is 131127361. The next prime is 131127383. The reversal of 131127380 is 83721131.

It can be written as a sum of positive squares in 2 ways, for example, as 71436304 + 59691076 = 8452^2 + 7726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131127383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3278165 + ... + 3278204.

It is an arithmetic number, because the mean of its divisors is an integer number (22947295).

Almost surely, 2131127380 is an apocalyptic number.

131127380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131127380 is an abundant number, since it is smaller than the sum of its proper divisors (144240160).

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

131127380 is a wasteful number, since it uses less digits than its factorization.

131127380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556378 (or 6556376 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 131127380 is about 11451.0864113411. The cubic root of 131127380 is about 508.0398681175.

The spelling of 131127380 in words is "one hundred thirty-one million, one hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 6556369 13112738 26225476 32781845 65563690 131127380