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131081216 = 210718287
BaseRepresentation
bin1111101000000…
…10010000000000
3100010122121121212
413310002100000
5232024044331
621001305252
73151112660
oct764022000
9303577555
10131081216
1167aa0292
1237a95228
1321206966
14135a21a0
15b793d2b
hex7d02400

131081216 has 44 divisors (see below), whose sum is σ = 299484288. Its totient is φ = 56174592.

The previous prime is 131081207. The next prime is 131081219. The reversal of 131081216 is 612180131.

It is a junction number, because it is equal to n+sod(n) for n = 131081191 and 131081200.

It is not an unprimeable number, because it can be changed into a prime (131081219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1976 + ... + 16311.

Almost surely, 2131081216 is an apocalyptic number.

131081216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131081216 is an abundant number, since it is smaller than the sum of its proper divisors (168403072).

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

131081216 is an equidigital number, since it uses as much as digits as its factorization.

131081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 131081216 is about 11449.0705299601. The cubic root of 131081216 is about 507.9802418587.

The spelling of 131081216 in words is "one hundred thirty-one million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 18287 36574 73148 128009 146296 256018 292592 512036 585184 1024072 1170368 2048144 2340736 4096288 4681472 8192576 9362944 16385152 18725888 32770304 65540608 131081216