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21112012220112 = 24321113328290543
BaseRepresentation
bin1001100110011100001011…
…11111010010011011010000
32202202021210102122021120200
410303032011333102123100
510231344400112020422
6112522420255135200
74306202225650212
oct463160577223320
982667712567520
1021112012220112
1167aa610566870
12244b796214500
13ba1b14911a58
1452db80c045b2
1526928a1bd2ac
hex133385fd26d0

21112012220112 has 60 divisors (see below), whose sum is σ = 64455613070784. Its totient is φ = 6397579460160.

The previous prime is 21112012220111. The next prime is 21112012220177. The reversal of 21112012220112 is 21102221021112.

21112012220112 is a `hidden beast` number, since 211 + 120 + 1 + 2 + 220 + 112 = 666.

It is a super-3 number, since 3×211120122201123 (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112012220111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6664143688 + ... + 6664146855.

Almost surely, 221112012220112 is an apocalyptic number.

21112012220112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21112012220112 is an abundant number, since it is smaller than the sum of its proper divisors (43343600850672).

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

21112012220112 is a wasteful number, since it uses less digits than its factorization.

21112012220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13328290568 (or 13328290559 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112012220112 its reverse (21102221021112), we get a palindrome (42214233241224).

The spelling of 21112012220112 in words is "twenty-one trillion, one hundred twelve billion, twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 13328290543 26656581086 39984871629 53313162172 79969743258 106626324344 119954614887 146611195973 159939486516 213252648688 239909229774 293222391946 319878973032 439833587919 479818459548 586444783892 639757946064 879667175838 959636919096 1172889567784 1319500763757 1759334351676 1919273838192 2345779135568 2639001527514 3518668703352 5278003055028 7037337406704 10556006110056 21112012220112