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131661312 = 29385717
BaseRepresentation
bin1111101100011…
…11111000000000
3100011202002100220
413312033320000
5232201130222
621021543040
73156050136
oct766177000
9304662326
10131661312
1168357102
1238114a80
132137aa03
14136b3756
15b85ab5c
hex7d8fe00

131661312 has 40 divisors (see below), whose sum is σ = 350758056. Its totient is φ = 43886592.

The previous prime is 131661263. The next prime is 131661337. The reversal of 131661312 is 213166131.

It is a super-2 number, since 2×1316613122 = 34669402155122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 41323 + ... + 44394.

Almost surely, 2131661312 is an apocalyptic number.

131661312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131661312 is an abundant number, since it is smaller than the sum of its proper divisors (219096744).

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

131661312 is an frugal number, since it uses more digits than its factorization.

131661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85738 (or 85722 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 131661312 is about 11474.3763229206. The cubic root of 131661312 is about 508.7284896137.

The spelling of 131661312 in words is "one hundred thirty-one million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 85717 171434 257151 342868 514302 685736 1028604 1371472 2057208 2742944 4114416 5485888 8228832 10971776 16457664 21943552 32915328 43887104 65830656 131661312