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131041331422300 = 225213313511926131
BaseRepresentation
bin11101110010111001110000…
…000000101010010001011100
3122011222102120200210111210101
4131302321300000222101130
5114133440121321003200
61142411320120150444
736413265231563125
oct3562716000522134
9564872520714711
10131041331422300
1138832353390472
1212844830908424
1358171b56c0710
14245061195304c
151023a4464226a
hex772e7002a45c

131041331422300 has 144 divisors (see below), whose sum is σ = 316202387974144. Its totient is φ = 46810314720000.

The previous prime is 131041331422277. The next prime is 131041331422319. The reversal of 131041331422300 is 3224133140131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141030235 + ... + 141956365.

Almost surely, 2131041331422300 is an apocalyptic number.

131041331422300 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 131041331422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158101193987072).

131041331422300 is an abundant number, since it is smaller than the sum of its proper divisors (185161056551844).

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

131041331422300 is a wasteful number, since it uses less digits than its factorization.

131041331422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929700 (or 929693 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131041331422300 its reverse (3224133140131), we get a palindrome (134265464562431).

The spelling of 131041331422300 in words is "one hundred thirty-one trillion, forty-one billion, three hundred thirty-one million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 1300 1550 1612 2015 3100 3511 4030 7022 8060 10075 14044 17555 20150 35110 40300 45643 70220 87775 91286 108841 175550 182572 217682 228215 351100 435364 456430 544205 912860 926131 1088410 1141075 1414933 1852262 2176820 2282150 2721025 2829866 3704524 4564300 4630655 5442050 5659732 7074665 9261310 10884100 12039703 14149330 18522620 23153275 24079406 28298660 28710061 35373325 46306550 48158812 57420122 60198515 70746650 92613100 114840244 120397030 141493300 143550305 240794060 287100610 300992575 373230793 574201220 601985150 717751525 746461586 1203970300 1435503050 1492923172 1866153965 2871006100 3251645941 3732307930 6503291882 7464615860 9330769825 13006583764 16258229705 18661539650 32516459410 37323079300 42271397233 65032918820 81291148525 84542794466 100801024171 162582297050 169085588932 201602048342 211356986165 325164594100 403204096684 422713972330 504005120855 845427944660 1008010241710 1056784930825 1310413314223 2016020483420 2113569861650 2520025604275 2620826628446 4227139723300 5040051208550 5241653256892 6552066571115 10080102417100 13104133142230 26208266284460 32760332855575 65520665711150 131041331422300