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131350400 = 275241047
BaseRepresentation
bin1111101010000…
…11111110000000
3100011011021212122
413311003332000
5232111203100
621011143412
73153313526
oct765037600
9304137778
10131350400
1168164555
1237ba4b68
132129c33c
1413632316
15b7e8985
hex7d43f80

131350400 has 48 divisors (see below), whose sum is σ = 324484440. Its totient is φ = 52538880.

The previous prime is 131350393. The next prime is 131350403. The reversal of 131350400 is 4053131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17324 + ... + 23723.

Almost surely, 2131350400 is an apocalyptic number.

131350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131350400 is an abundant number, since it is smaller than the sum of its proper divisors (193134040).

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

131350400 is an equidigital number, since it uses as much as digits as its factorization.

131350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41071 (or 41054 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 131350400 is about 11460.8202149759. The cubic root of 131350400 is about 508.3277278488.

The spelling of 131350400 in words is "one hundred thirty-one million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 41047 82094 164188 205235 328376 410470 656752 820940 1026175 1313504 1641880 2052350 2627008 3283760 4104700 5254016 6567520 8209400 13135040 16418800 26270080 32837600 65675200 131350400