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131242370 = 2572381517
BaseRepresentation
bin1111101001010…
…01100110000010
3100010221210200112
413310221212002
5232044223440
621004551322
73152353550
oct764514602
9303853615
10131242370
11680a0376
1237b52542
132126210c
1413604bd0
15b7c6965
hex7d29982

131242370 has 32 divisors (see below), whose sum is σ = 281726208. Its totient is φ = 43040448.

The previous prime is 131242369. The next prime is 131242379. The reversal of 131242370 is 73242131.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131242379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39149 + ... + 42368.

It is an arithmetic number, because the mean of its divisors is an integer number (8803944).

Almost surely, 2131242370 is an apocalyptic number.

131242370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131242370 is an abundant number, since it is smaller than the sum of its proper divisors (150483838).

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

131242370 is a wasteful number, since it uses less digits than its factorization.

131242370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81554.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 131242370 is about 11456.1062320494. The cubic root of 131242370 is about 508.1883304652.

The spelling of 131242370 in words is "one hundred thirty-one million, two hundred forty-two thousand, three hundred seventy".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 81517 163034 407585 570619 815170 1141238 1874891 2853095 3749782 5706190 9374455 13124237 18748910 26248474 65621185 131242370