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2113100023112 = 2313157571722637
BaseRepresentation
bin11110101111111110100…
…100111000010101001000
321111000021120111022120222
4132233332210320111020
5234110112101214422
64254424511005212
7305444405560541
oct36577644702510
97430246438528
102113100023112
11745184969171
122a1648b09808
13124359096980
14743bb6754c8
1539e77325842
hex1ebfe938548

2113100023112 has 64 divisors (see below), whose sum is σ = 4294954707120. Its totient is φ = 968852671488.

The previous prime is 2113100023051. The next prime is 2113100023157. The reversal of 2113100023112 is 2113200013112.

It can be written as a sum of positive squares in 8 ways, for example, as 325942795396 + 1787157227716 = 570914^2 + 1336846^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93335858 + ... + 93358494.

Almost surely, 22113100023112 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 2113100023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147477353560).

2113100023112 is an abundant number, since it is smaller than the sum of its proper divisors (2181854684008).

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

2113100023112 is a wasteful number, since it uses less digits than its factorization.

2113100023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28530 (or 28526 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2113100023112 its reverse (2113200013112), we get a palindrome (4226300036224).

The spelling of 2113100023112 in words is "two trillion, one hundred thirteen billion, one hundred million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 5717 8164 11434 16328 22637 22868 45274 45736 74321 90548 148642 181096 294281 297284 588562 594568 897569 1177124 1795138 2354248 3554009 3590276 7108018 7180552 11668397 14216036 23336794 28432072 46202117 46673588 92404234 93347176 129415729 184808468 258831458 369616936 517662916 1035325832 1682404477 3364808954 6729617908 13459235816 20318269453 40636538906 81273077812 162546155624 264137502889 528275005778 1056550011556 2113100023112