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131172314 = 27213195419
BaseRepresentation
bin1111101000110…
…00011111011010
3100010211020120212
413310120133122
5232040003224
621003251122
73151642400
oct764303732
9303736525
10131172314
1168052779
1237b19aa2
1321239270
14135c7470
15b7b0d0e
hex7d187da

131172314 has 48 divisors (see below), whose sum is σ = 259509600. Its totient is φ = 49152096.

The previous prime is 131172271. The next prime is 131172319. The reversal of 131172314 is 413271131.

It is a happy number.

It is a super-2 number, since 2×1311723142 = 34412351920229192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131172314.

It is not an unprimeable number, because it can be changed into a prime (131172319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21497 + ... + 26915.

It is an arithmetic number, because the mean of its divisors is an integer number (5406450).

Almost surely, 2131172314 is an apocalyptic number.

131172314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131172314 is a deficient number, since it is larger than the sum of its proper divisors (128337286).

131172314 is a wasteful number, since it uses less digits than its factorization.

131172314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5460 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 131172314 is about 11453.0482405340. The cubic root of 131172314 is about 508.0978922473.

The spelling of 131172314 in words is "one hundred thirty-one million, one hundred seventy-two thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 19 26 38 49 91 98 133 182 247 266 494 637 931 1274 1729 1862 3458 5419 10838 12103 24206 37933 70447 75866 102961 140894 205922 265531 493129 531062 720727 986258 1338493 1441454 2676986 3451903 5045089 6903806 9369451 10090178 18738902 65586157 131172314