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21110111101112 = 23111720913939661
BaseRepresentation
bin1001100110011000101001…
…01011000110000010111000
32202202002212221100102120212
410303030110223012002320
510231332001420213422
6112521503503410252
74306104142500215
oct463142453060270
982662787312525
1021110111101112
1167a9825416a40
12244b3455b3988
13ba18a0aa8a77
1452da40528b0c
152691c833d9e2
hex133314ac60b8

21110111101112 has 32 divisors (see below), whose sum is σ = 43182284943600. Its totient is φ = 9594946771200.

The previous prime is 21110111101111. The next prime is 21110111101129.

21110111101112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110111101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5455439 + ... + 8484222.

Almost surely, 221110111101112 is an apocalyptic number.

21110111101112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21110111101112 is an abundant number, since it is smaller than the sum of its proper divisors (22072173842488).

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

21110111101112 is a wasteful number, since it uses less digits than its factorization.

21110111101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956887 (or 13956883 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 2111011 and 1101112, that multiplied together give a palindrome (2324459544232).

The spelling of 21110111101112 in words is "twenty-one trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 17209 34418 68836 137672 189299 378598 757196 1514392 13939661 27879322 55758644 111517288 153336271 306672542 613345084 1226690168 239887626149 479775252298 959550504596 1919101009192 2638763887639 5277527775278 10555055550556 21110111101112