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2113311103110 = 23251713271040881
BaseRepresentation
bin11110110000001011001…
…010000101100010000110
321111000211021200021220200
4132300023022011202012
5234111030120244420
64254501451111330
7305452550663244
oct36601312054206
97430737607820
102113311103110
11745283029749
122a16a7742546
13124390a3028c
14743db6dd794
1539e8ab1cb90
hex1ec0b285886

2113311103110 has 96 divisors (see below), whose sum is σ = 5822210938752. Its totient is φ = 529999441920.

The previous prime is 2113311103031. The next prime is 2113311103129. The reversal of 2113311103110 is 113011133112.

2113311103110 is a `hidden beast` number, since 2 + 11 + 331 + 1 + 10 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509870 + ... + 2550750.

It is an arithmetic number, because the mean of its divisors is an integer number (60648030612).

Almost surely, 22113311103110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113311103110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911105469376).

2113311103110 is an abundant number, since it is smaller than the sum of its proper divisors (3708899835642).

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

2113311103110 is a wasteful number, since it uses less digits than its factorization.

2113311103110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042238 (or 1042235 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 2113311103110 its reverse (113011133112), we get a palindrome (2226322236222).

The spelling of 2113311103110 in words is "two trillion, one hundred thirteen billion, three hundred eleven million, one hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1327 1530 2654 3981 6635 7962 11943 13270 19905 22559 23886 39810 45118 59715 67677 112795 119430 135354 203031 225590 338385 406062 676770 1015155 1040881 2030310 2081762 3122643 5204405 6245286 9367929 10408810 15613215 17694977 18735858 31226430 35389954 46839645 53084931 88474885 93679290 106169862 159254793 176949770 265424655 318509586 530849310 796273965 1381249087 1592547930 2762498174 4143747261 6906245435 8287494522 12431241783 13812490870 20718736305 23481234479 24862483566 41437472610 46962468958 62156208915 70443703437 117406172395 124312417830 140887406874 211331110311 234812344790 352218517185 422662220622 704437034370 1056655551555 2113311103110