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131330605224 = 233713131459031
BaseRepresentation
bin111101001001111101…
…0100000000010101000
3110112222122200222211210
41322103322200002220
54122431113331344
6140155450353120
712326331503610
oct1722372400250
9415878628753
10131330605224
1150773780575
122155242b7a0
13c4cc7670c0
1464dc0b5a40
153639a9bdb9
hex1e93ea00a8

131330605224 has 128 divisors (see below), whose sum is σ = 407179745280. Its totient is φ = 34372166400.

The previous prime is 131330605193. The next prime is 131330605279. The reversal of 131330605224 is 422506033131.

It is a junction number, because it is equal to n+sod(n) for n = 131330605191 and 131330605200.

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, 56589 + ... + 515619.

It is an arithmetic number, because the mean of its divisors is an integer number (3181091760).

Almost surely, 2131330605224 is an apocalyptic number.

131330605224 is a gapful number since it is divisible by the number (14) 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 131330605224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203589872640).

131330605224 is an abundant number, since it is smaller than the sum of its proper divisors (275849140056).

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

131330605224 is a wasteful number, since it uses less digits than its factorization.

131330605224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459191 (or 459187 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 131330605224 its reverse (422506033131), we get a palindrome (553836638355).

The spelling of 131330605224 in words is "one hundred thirty-one billion, three hundred thirty million, six hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 131 156 168 182 262 273 312 364 393 524 546 728 786 917 1048 1092 1572 1703 1834 2184 2751 3144 3406 3668 5109 5502 6812 7336 10218 11004 11921 13624 20436 22008 23842 35763 40872 47684 71526 95368 143052 286104 459031 918062 1377093 1836124 2754186 3213217 3672248 5508372 5967403 6426434 9639651 11016744 11934806 12852868 17902209 19279302 23869612 25705736 35804418 38558604 41771821 47739224 60133061 71608836 77117208 83543642 120266122 125315463 143217672 167087284 180399183 240532244 250630926 334174568 360798366 420931427 481064488 501261852 721596732 781729793 841862854 1002523704 1262794281 1443193464 1563459586 1683725708 2345189379 2525588562 3126919172 3367451416 4690378758 5051177124 5472108551 6253838344 9380757516 10102354248 10944217102 16416325653 18761515032 21888434204 32832651306 43776868408 65665302612 131330605224