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131356310720 = 2653731193557
BaseRepresentation
bin111101001010101110…
…0100011110011000000
3110120001110001222011012
41322111130203303000
54123004203420340
6140202205340052
712330063135005
oct1722534436300
9416043058135
10131356310720
1150787238488
122155ab67628
13c504b9745b
1465016878ac
15363be78565
hex1e95723cc0

131356310720 has 112 divisors (see below), whose sum is σ = 321439397760. Its totient is φ = 51091697664.

The previous prime is 131356310707. The next prime is 131356310759. The reversal of 131356310720 is 27013653131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36927182 + ... + 36930738.

Almost surely, 2131356310720 is an apocalyptic number.

131356310720 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 131356310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160719698880).

131356310720 is an abundant number, since it is smaller than the sum of its proper divisors (190083087040).

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

131356310720 is a wasteful number, since it uses less digits than its factorization.

131356310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

Adding to 131356310720 its reverse (27013653131), we get a palindrome (158369963851).

The spelling of 131356310720 in words is "one hundred thirty-one billion, three hundred fifty-six million, three hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 3119 3557 5920 6238 7114 11840 12476 14228 15595 17785 24952 28456 31190 35570 49904 56912 62380 71140 99808 113824 115403 124760 131609 142280 199616 227648 230806 249520 263218 284560 461612 499040 526436 569120 577015 658045 923224 998080 1052872 1138240 1154030 1316090 1846448 2105744 2308060 2632180 3692896 4211488 4616120 5264360 7385792 8422976 9232240 10528720 11094283 18464480 21057440 22188566 36928960 42114880 44377132 55471415 88754264 110942830 177508528 221885660 355017056 410488471 443771320 710034112 820976942 887542640 1641953884 1775085280 2052442355 3283907768 3550170560 4104884710 6567815536 8209769420 13135631072 16419538840 26271262144 32839077680 65678155360 131356310720