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131331720 = 233513292903
BaseRepresentation
bin1111101001111…
…11011010001000
3100011010100020210
413310333122020
5232110103340
621010521120
73153205212
oct764773210
9304110223
10131331720
1168151513
1237b961a0
13212939a0
14136295b2
15b7e3180
hex7d3f688

131331720 has 128 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 31202304.

The previous prime is 131331709. The next prime is 131331727. The reversal of 131331720 is 27133131.

It is not an unprimeable number, because it can be changed into a prime (131331727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43789 + ... + 46691.

It is an arithmetic number, because the mean of its divisors is an integer number (3430350).

Almost surely, 2131331720 is an apocalyptic number.

131331720 is a gapful number since it is divisible by the number (10) 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 131331720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

131331720 is an abundant number, since it is smaller than the sum of its proper divisors (307753080).

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

131331720 is a wasteful number, since it uses less digits than its factorization.

131331720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 131331720 is about 11460.0052356009. The cubic root of 131331720 is about 508.3036294268.

Adding to 131331720 its reverse (27133131), we get a palindrome (158464851).

It can be divided in two parts, 1313 and 31720, that added together give a palindrome (33033).

The spelling of 131331720 in words is "one hundred thirty-one million, three hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 2903 3016 3480 3770 4524 5655 5806 7540 8709 9048 11310 11612 14515 15080 17418 22620 23224 29030 34836 37739 43545 45240 58060 69672 75478 84187 87090 113217 116120 150956 168374 174180 188695 226434 252561 301912 336748 348360 377390 420935 452868 505122 566085 673496 754780 841870 905736 1010244 1094431 1132170 1262805 1509560 1683740 2020488 2188862 2264340 2525610 3283293 3367480 4377724 4528680 5051220 5472155 6566586 8755448 10102440 10944310 13133172 16416465 21888620 26266344 32832930 43777240 65665860 131331720