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131338890 = 23255212801
BaseRepresentation
bin1111101010000…
…01001010001010
3100011010201002100
413311001022022
5232110321030
621011014230
73153235134
oct765011212
9304121070
10131338890
1168156941
1237b9a376
1321297027
141362c054
15b7e5360
hex7d4128a

131338890 has 48 divisors (see below), whose sum is σ = 342258696. Its totient is φ = 34944000.

The previous prime is 131338861. The next prime is 131338903. The reversal of 131338890 is 98833131.

It can be written as a sum of positive squares in 4 ways, for example, as 93257649 + 38081241 = 9657^2 + 6171^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45490 + ... + 48290.

Almost surely, 2131338890 is an apocalyptic number.

131338890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131338890 is an abundant number, since it is smaller than the sum of its proper divisors (210919806).

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

131338890 is a wasteful number, since it uses less digits than its factorization.

131338890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131338890 is about 11460.3180584136. The cubic root of 131338890 is about 508.3128794661.

The spelling of 131338890 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 521 1042 1563 2605 2801 3126 4689 5210 5602 7815 8403 9378 14005 15630 16806 23445 25209 28010 42015 46890 50418 84030 126045 252090 1459321 2918642 4377963 7296605 8755926 13133889 14593210 21889815 26267778 43779630 65669445 131338890