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131334757620 = 2235112130713841
BaseRepresentation
bin111101001010000101…
…0010101110011110100
3110112222221111221212020
41322110022111303310
54122433144220440
6140200115353140
712326412006663
oct1722412256364
9415887457766
10131334757620
1150776057300
12215538b27b0
13c50058c141
1464dc876dda
15363a11c3d0
hex1e94295cf4

131334757620 has 144 divisors (see below), whose sum is σ = 404545627584. Its totient is φ = 31812070400.

The previous prime is 131334757583. The next prime is 131334757633. The reversal of 131334757620 is 26757433131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9481900 + ... + 9495740.

It is an arithmetic number, because the mean of its divisors is an integer number (2809344636).

Almost surely, 2131334757620 is an apocalyptic number.

131334757620 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 131334757620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202272813792).

131334757620 is an abundant number, since it is smaller than the sum of its proper divisors (273210869964).

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

131334757620 is a wasteful number, since it uses less digits than its factorization.

131334757620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 15169 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 131334757620 in words is "one hundred thirty-one billion, three hundred thirty-four million, seven hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1307 1452 1815 2420 2614 3630 3921 5228 6535 7260 7842 13070 13841 14377 15684 19605 26140 27682 28754 39210 41523 43131 55364 57508 69205 71885 78420 83046 86262 138410 143770 152251 158147 166092 172524 207615 215655 276820 287540 304502 316294 415230 431310 456753 474441 609004 632588 761255 790735 830460 862620 913506 948882 1522510 1581470 1674761 1827012 1897764 2283765 2372205 3045020 3162940 3349522 4567530 4744410 5024283 6699044 8373805 9135060 9488820 10048566 16747610 18090187 20097132 25121415 33495220 36180374 50242830 54270561 72360748 90450935 100485660 108541122 180901870 198992057 217082244 271352805 361803740 397984114 542705610 596976171 795968228 994960285 1085411220 1193952342 1989920570 2188912627 2387904684 2984880855 3979841140 4377825254 5969761710 6566737881 8755650508 10944563135 11939523420 13133475762 21889126270 26266951524 32833689405 43778252540 65667378810 131334757620