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131150336 = 29318263
BaseRepresentation
bin1111101000100…
…11001000000000
3100010210010102212
413310103020000
5232033302321
621003001252
73151521332
oct764231000
9303703385
10131150336
1168038209
1237b09228
132122c265
14135bd452
15b7a955b
hex7d13200

131150336 has 40 divisors (see below), whose sum is σ = 270530304. Its totient is φ = 63452160.

The previous prime is 131150329. The next prime is 131150363. The reversal of 131150336 is 633051131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11741 + ... + 20003.

Almost surely, 2131150336 is an apocalyptic number.

131150336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135265152).

131150336 is an abundant number, since it is smaller than the sum of its proper divisors (139379968).

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

131150336 is an frugal number, since it uses more digits than its factorization.

131150336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 131150336 is about 11452.0887177842. The cubic root of 131150336 is about 508.0695132933.

The spelling of 131150336 in words is "one hundred thirty-one million, one hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 8263 15872 16526 33052 66104 132208 256153 264416 512306 528832 1024612 1057664 2049224 2115328 4098448 4230656 8196896 16393792 32787584 65575168 131150336