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131331400 = 2352656657
BaseRepresentation
bin1111101001111…
…11010101001000
3100011010022210221
413310333111020
5232110101100
621010515424
73153204244
oct764772510
9304108727
10131331400
1168151252
1237b95b74
13212937b5
1413629424
15b7e301a
hex7d3f548

131331400 has 24 divisors (see below), whose sum is σ = 305345970. Its totient is φ = 52532480.

The previous prime is 131331397. The next prime is 131331413. The reversal of 131331400 is 4133131.

It can be written as a sum of positive squares in 3 ways, for example, as 114961284 + 16370116 = 10722^2 + 4046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 328129 + ... + 328528.

Almost surely, 2131331400 is an apocalyptic number.

131331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331400 is an abundant number, since it is smaller than the sum of its proper divisors (174014570).

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

131331400 is a wasteful number, since it uses less digits than its factorization.

131331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656673 (or 656664 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131331400 is about 11459.9912739932. The cubic root of 131331400 is about 508.3032165859.

Adding to 131331400 its reverse (4133131), we get a palindrome (135464531).

The spelling of 131331400 in words is "one hundred thirty-one million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 656657 1313314 2626628 3283285 5253256 6566570 13133140 16416425 26266280 32832850 65665700 131331400