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131720759334 = 23510121632
BaseRepresentation
bin111101010101100101…
…0110100100000100110
3110120222211211212200000
41322223022310200212
54124231003244314
6140302305002130
712342106660263
oct1725312644046
9416884755600
10131720759334
1150953a3108a
1221641023346
13c56253c018
146537c3626a
15365de68209
hex1eab2b4826

131720759334 has 108 divisors (see below), whose sum is σ = 300769668108. Its totient is φ = 43205497200.

The previous prime is 131720759293. The next prime is 131720759369. The reversal of 131720759334 is 433957027131.

131720759334 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 20 + 7 + 593 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131720759334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 808102737 + ... + 808102899.

Almost surely, 2131720759334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131720759334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150384834054).

131720759334 is an abundant number, since it is smaller than the sum of its proper divisors (169048908774).

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

131720759334 is an frugal number, since it uses more digits than its factorization.

131720759334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 131720759334 in words is "one hundred thirty-one billion, seven hundred twenty million, seven hundred fifty-nine thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 163 202 243 303 326 486 489 606 909 978 1467 1818 2727 2934 4401 5454 8181 8802 10201 13203 16362 16463 20402 24543 26406 26569 30603 32926 39609 49086 49389 53138 61206 79218 79707 91809 98778 148167 159414 183618 239121 275427 296334 444501 478242 550854 717363 826281 889002 1333503 1434726 1652562 1662763 2152089 2478843 2667006 2683469 3325526 4000509 4304178 4957686 4988289 5366938 6456267 8001018 8050407 9976578 12912534 14964867 16100814 24151221 29929734 44894601 48302442 72453663 89789202 134683803 144907326 217360989 269367606 271030369 404051409 434721978 542060738 652082967 808102818 813091107 1304165934 1626182214 2439273321 4878546642 7317819963 14635639926 21953459889 43906919778 65860379667 131720759334