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131865150 = 23528271063
BaseRepresentation
bin1111101110000…
…01101000111110
3100012010102222110
413313001220332
5232224141100
621030154450
73160556334
oct767015076
9305112873
10131865150
116848626a
12381b2a26
132141c721
1413727b54
15b89b250
hex7dc1a3e

131865150 has 48 divisors (see below), whose sum is σ = 327729024. Its totient is φ = 35088480.

The previous prime is 131865137. The next prime is 131865163. The reversal of 131865150 is 51568131.

It is an interprime number because it is at equal distance from previous prime (131865137) and next prime (131865163).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 123519 + ... + 124581.

It is an arithmetic number, because the mean of its divisors is an integer number (6827688).

Almost surely, 2131865150 is an apocalyptic number.

131865150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131865150 is an abundant number, since it is smaller than the sum of its proper divisors (195863874).

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

131865150 is a wasteful number, since it uses less digits than its factorization.

131865150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 131865150 is about 11483.2552005083. The cubic root of 131865150 is about 508.9908920033.

It can be divided in two parts, 13186 and 5150, that added together give a triangular number (18336 = T191).

The spelling of 131865150 in words is "one hundred thirty-one million, eight hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 827 1063 1654 2126 2481 3189 4135 4962 5315 6378 8270 10630 12405 15945 20675 24810 26575 31890 41350 53150 62025 79725 124050 159450 879101 1758202 2637303 4395505 5274606 8791010 13186515 21977525 26373030 43955050 65932575 131865150