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131120312523024 = 243113759531127453
BaseRepresentation
bin11101110100000011010011…
…101001101001100100010000
3122012020222110000200010202010
4131310003103221221210100
5114141233400001214044
61142511501235222520
736422062402060656
oct3564032351514420
9565228400603663
10131120312523024
11388628a3135430
1212857bb3447a40
1358217916cbc46
142454385260dd6
151025b18449bb9
hex7740d3a69910

131120312523024 has 160 divisors (see below), whose sum is σ = 379572018943104. Its totient is φ = 38653023191040.

The previous prime is 131120312523019. The next prime is 131120312523121. The reversal of 131120312523024 is 420325213021131.

It is a super-2 number, since 2×1311203125230242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131120312522982 and 131120312523000.

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, 115734082 + ... + 116861534.

Almost surely, 2131120312523024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120312523024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189786009471552).

131120312523024 is an abundant number, since it is smaller than the sum of its proper divisors (248451706420080).

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

131120312523024 is a wasteful number, since it uses less digits than its factorization.

131120312523024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133465 (or 1133459 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 131120312523024 its reverse (420325213021131), we get a palindrome (551445525544155).

The spelling of 131120312523024 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred twelve million, five hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 5953 6512 9768 11906 17859 19536 23812 35718 47624 65483 71436 95248 130966 142872 196449 220261 261932 285744 392898 440522 523864 660783 785796 881044 1047728 1127453 1321566 1571592 1762088 2254906 2422871 2643132 3143184 3382359 3524176 4509812 4845742 5286264 6764718 7268613 9019624 9691484 10572528 12401983 13529436 14537226 18039248 19382968 24803966 27058872 29074452 37205949 38765936 41715761 49607932 54117744 58148904 74411898 83431522 99215864 116297808 125147283 148823796 166863044 198431728 250294566 297647592 333726088 458873371 500589132 595295184 667452176 917746742 1001178264 1376620113 1835493484 2002356528 2753240226 3670986968 5506480452 6711727709 7341973936 11012960904 13423455418 20135183127 22025921808 26846910836 40270366254 53693821672 73829004799 80540732508 107387643344 147658009598 161081465016 221487014397 248333925233 295316019196 322162930032 442974028794 496667850466 590632038392 745001775699 885948057588 993335700932 1181264076784 1490003551398 1771896115176 1986671401864 2731673177563 2980007102796 3543792230352 3973342803728 5463346355126 5960014205592 8195019532689 10926692710252 11920028411184 16390039065378 21853385420504 32780078130756 43706770841008 65560156261512 131120312523024