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13131113303110 = 25116179181136859
BaseRepresentation
bin1011111100010101001101…
…0110000000110001000110
31201111022200212022102122211
42333011103112000301012
53210120010001144420
643532203345414034
72523456141316405
oct277052326006106
951438625272584
1013131113303110
11420296814aa40
121580a9333a31a
137433493baa8a
143357992d363c
1517b88510ce5a
hexbf153580c46

13131113303110 has 128 divisors (see below), whose sum is σ = 26685991987200. Its totient is φ = 4611567168000.

The previous prime is 13131113303051. The next prime is 13131113303111. The reversal of 13131113303110 is 1130331113131.

It is a super-2 number, since 2×131311133031102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131113303111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95877861 + ... + 96014719.

It is an arithmetic number, because the mean of its divisors is an integer number (208484312400).

Almost surely, 213131113303110 is an apocalyptic number.

13131113303110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131113303110 is an abundant number, since it is smaller than the sum of its proper divisors (13554878684090).

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

13131113303110 is a wasteful number, since it uses less digits than its factorization.

13131113303110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137198.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 13131113303110 its reverse (1130331113131), we get a palindrome (14261444416241).

The spelling of 13131113303110 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirteen million, three hundred three thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 61 79 110 122 158 181 305 362 395 610 671 790 869 905 1342 1738 1810 1991 3355 3982 4345 4819 6710 8690 9638 9955 11041 14299 19910 22082 24095 28598 48190 53009 55205 71495 106018 110410 121451 136859 142990 157289 242902 265045 273718 314578 530090 607255 684295 786445 872239 1214510 1368590 1505449 1572890 1744478 3010898 4361195 7527245 8348399 8722390 9594629 10811861 15054490 16696798 19189258 21623722 24771479 41741995 47973145 49542958 54059305 83483990 91832389 95946290 108118610 118930471 123857395 183664778 237860942 247714790 272486269 459161945 544972538 594652355 659523521 918323890 1189304710 1319047042 1362431345 1511060219 1956946841 2724862690 3022120438 3297617605 3913893682 6595235210 7254758731 7555301095 9784734205 14509517462 15110602190 16621662409 19569468410 21526415251 33243324818 36273793655 43052830502 72547587310 83108312045 107632076255 119373757301 166216624090 215264152510 238747514602 596868786505 1193737573010 1313111330311 2626222660622 6565556651555 13131113303110