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131424252123320 = 235132543355727941
BaseRepresentation
bin11101111000011110010111…
…110111001101100010111000
3122020100000222002122121010022
4131320132113313031202320
5114211223332020421240
61143303245023510012
736453042325046432
oct3570362767154270
9566300862577108
10131424252123320
113896a792111742
12128a6a98158308
13584433b792390
142464d796b3652
15102d9a68ec9b5
hex778797dcd8b8

131424252123320 has 128 divisors (see below), whose sum is σ = 318677267139840. Its totient is φ = 48491423016960.

The previous prime is 131424252123289. The next prime is 131424252123391. The reversal of 131424252123320 is 23321252424131.

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, 4703620550 + ... + 4703648490.

It is an arithmetic number, because the mean of its divisors is an integer number (2489666149530).

Almost surely, 2131424252123320 is an apocalyptic number.

131424252123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424252123320 is an abundant number, since it is smaller than the sum of its proper divisors (187253015016520).

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

131424252123320 is a wasteful number, since it uses less digits than its factorization.

131424252123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34065 (or 34061 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 131424252123320 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, two hundred fifty-two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2543 3557 5086 7114 10172 12715 14228 17785 20344 25430 27941 28456 33059 35570 46241 50860 55882 66118 71140 92482 101720 111764 132236 139705 142280 165295 184964 223528 231205 264472 279410 330590 363233 369928 462410 558820 661180 726466 924820 1117640 1322360 1452932 1816165 1849640 2905864 3632330 7264660 9045451 14529320 18090902 36181804 45227255 71053963 72363608 90454510 99386137 117590863 142107926 180909020 198772274 235181726 284215852 355269815 361818040 397544548 470363452 496930685 568431704 587954315 710539630 795089096 923701519 940726904 993861370 1175908630 1292019781 1421079260 1847403038 1987722740 2351817260 2584039562 2842158520 3694806076 3975445480 4618507595 4703634520 5168079124 6460098905 7389612152 9237015190 10336158248 12920197810 18474030380 25840395620 36948060760 51680791240 252738946391 505477892782 1010955785564 1263694731955 2021911571128 2527389463910 3285606303083 5054778927820 6571212606166 10109557855640 13142425212332 16428031515415 26284850424664 32856063030830 65712126061660 131424252123320