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131328500 = 2253262657
BaseRepresentation
bin1111101001111…
…10100111110100
3100011010011211112
413310332213310
5232110003000
621010454152
73153162632
oct764764764
9304104745
10131328500
116814a056
1237b94358
1321292394
1413628352
15b7e2235
hex7d3e9f4

131328500 has 24 divisors (see below), whose sum is σ = 286822536. Its totient is φ = 52531200.

The previous prime is 131328479. The next prime is 131328511. The reversal of 131328500 is 5823131.

It can be written as a sum of positive squares in 4 ways, for example, as 729316 + 130599184 = 854^2 + 11428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130829 + ... + 131828.

It is an arithmetic number, because the mean of its divisors is an integer number (11950939).

Almost surely, 2131328500 is an apocalyptic number.

131328500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131328500 is an abundant number, since it is smaller than the sum of its proper divisors (155494036).

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

131328500 is a wasteful number, since it uses less digits than its factorization.

131328500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262676 (or 262664 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 131328500 is about 11459.8647461477. The cubic root of 131328500 is about 508.2994751852.

The spelling of 131328500 in words is "one hundred thirty-one million, three hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 262657 525314 1050628 1313285 2626570 5253140 6566425 13132850 26265700 32832125 65664250 131328500