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131311334020 = 22553617012897
BaseRepresentation
bin111101001001011000…
…0111111001010000100
3110112221022102220201111
41322102300333022010
54122411200142040
6140153521334404
712326005631416
oct1722260771204
9415838386644
10131311334020
1150763908859
1221547a97404
13c4c877a619
1464d96da9b6
153638041dea
hex1e92c3f284

131311334020 has 96 divisors (see below), whose sum is σ = 286068627936. Its totient is φ = 50598912000.

The previous prime is 131311333999. The next prime is 131311334053. The reversal of 131311334020 is 20433113131.

It can be written as a sum of positive squares in 16 ways, for example, as 50591705476 + 80719628544 = 224926^2 + 284112^2 .

It is a super-2 number, since 2×1313113340202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131311333982 and 131311334000.

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, 45325212 + ... + 45328108.

It is an arithmetic number, because the mean of its divisors is an integer number (2979881541).

Almost surely, 2131311334020 is an apocalyptic number.

131311334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311334020 is an abundant number, since it is smaller than the sum of its proper divisors (154757293916).

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

131311334020 is a wasteful number, since it uses less digits than its factorization.

131311334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131311334020 its reverse (20433113131), we get a palindrome (151744447151).

The spelling of 131311334020 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 53 61 106 122 212 244 265 305 530 610 701 1060 1220 1402 2804 2897 3233 3505 5794 6466 7010 11588 12932 14020 14485 16165 28970 32330 37153 42761 57940 64660 74306 85522 148612 153541 171044 176717 185765 213805 307082 353434 371530 427610 614164 706868 743060 767705 855220 883585 1535410 1767170 2030797 2266333 3070820 3534340 4061594 4532666 8123188 9065332 9366001 10153985 11331665 18732002 20307970 22663330 37464004 40615940 45326660 46830005 93660010 107632241 123878617 187320020 215264482 247757234 430528964 495514468 538161205 619393085 1076322410 1238786170 2152644820 2477572340 6565566701 13131133402 26262266804 32827833505 65655667010 131311334020