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131338146 = 23194672467
BaseRepresentation
bin1111101010000…
…00111110100010
3100011010200001210
413311000332202
5232110310041
621011010550
73153233022
oct765007642
9304120053
10131338146
1168156325
1237b99a56
13212968a4
141362ba82
15b7e5016
hex7d40fa2

131338146 has 32 divisors (see below), whose sum is σ = 277205760. Its totient is φ = 41369616.

The previous prime is 131338093. The next prime is 131338171. The reversal of 131338146 is 641833131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52005 + ... + 54471.

It is an arithmetic number, because the mean of its divisors is an integer number (8662680).

Almost surely, 2131338146 is an apocalyptic number.

131338146 is an abundant number, since it is smaller than the sum of its proper divisors (145867614).

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

131338146 is a wasteful number, since it uses less digits than its factorization.

131338146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958.

The product of its digits is 5184, while the sum is 30.

The square root of 131338146 is about 11460.2855985355. The cubic root of 131338146 is about 508.3119196450.

The spelling of 131338146 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 19 38 57 114 467 934 1401 2467 2802 4934 7401 8873 14802 17746 26619 46873 53238 93746 140619 281238 1152089 2304178 3456267 6912534 21889691 43779382 65669073 131338146