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21111111111112 = 2311367916520589
BaseRepresentation
bin1001100110011010100000…
…10001110101000111001000
32202202012110122001012102021
410303031100101311013020
510231341023421023422
6112522151025214224
74306141004442241
oct463152021650710
982665418035367
1021111111111112
1167aa198947290
12244b584491374
13ba1a0001a669
1452dad7279cc8
15269236022dc7
hex1333504751c8

21111111111112 has 32 divisors (see below), whose sum is σ = 43182998510400. Its totient is φ = 9595697300800.

The previous prime is 21111111111049. The next prime is 21111111111113.

It can be divided in two parts, 2111111 and 1111112, that added together give a palindrome (3222223).

21111111111112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (21111111111113) 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, 22687 + ... + 6497902.

It is an arithmetic number, because the mean of its divisors is an integer number (1349468703450).

Almost surely, 221111111111112 is an apocalyptic number.

21111111111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21111111111112 is an abundant number, since it is smaller than the sum of its proper divisors (22071887399288).

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

21111111111112 is a wasteful number, since it uses less digits than its factorization.

21111111111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557397 (or 6557393 counting only the distinct ones).

The product of its digits is 4, while the sum is 16.

The spelling of 21111111111112 in words is "twenty-one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 36791 73582 147164 294328 404701 809402 1618804 3237608 6520589 13041178 26082356 52164712 71726479 143452958 286905916 573811832 239898989899 479797979798 959595959596 1919191919192 2638888888889 5277777777778 10555555555556 21111111111112