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131113620 = 223351122073
BaseRepresentation
bin1111101000010…
…10001010010100
3100010201021002000
413310022022110
5232031113440
621002115300
73151306311
oct764121224
9303637060
10131113620
1168012670
1237aabb30
1321218631
14135add08
15b79d730
hex7d0a294

131113620 has 96 divisors (see below), whose sum is σ = 445011840. Its totient is φ = 31783680.

The previous prime is 131113589. The next prime is 131113637. The reversal of 131113620 is 26311131.

131113620 is a `hidden beast` number, since 1 + 31 + 1 + 13 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131113593 and 131113602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5097 + ... + 16976.

It is an arithmetic number, because the mean of its divisors is an integer number (4635540).

Almost surely, 2131113620 is an apocalyptic number.

131113620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131113620 is an abundant number, since it is smaller than the sum of its proper divisors (313898220).

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

131113620 is a wasteful number, since it uses less digits than its factorization.

131113620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22102 (or 22094 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131113620 is about 11450.4855792233. The cubic root of 131113620 is about 508.0220969163.

Adding to 131113620 its reverse (26311131), we get a palindrome (157424751).

The spelling of 131113620 in words is "one hundred thirty-one million, one hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 22073 44146 66219 88292 110365 132438 198657 220730 242803 264876 331095 397314 441460 485606 595971 662190 728409 794628 971212 993285 1191942 1214015 1324380 1456818 1986570 2185227 2383884 2428030 2913636 2979855 3642045 3973140 4370454 4856060 5959710 6555681 7284090 8740908 10926135 11919420 13111362 14568180 21852270 26222724 32778405 43704540 65556810 131113620