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21122200102212 = 22321153338889147
BaseRepresentation
bin1001100110101111001010…
…01110111110010101000100
32202210021002102221022111100
410303113211032332111010
510232031231211232322
6112531223232540100
74310012544346326
oct463274516762504
982707072838440
1021122200102212
116803969337440
12245175a0b1630
13ba2a79502961
14530469cb3616
152696847dedac
hex1335e53be544

21122200102212 has 36 divisors (see below), whose sum is σ = 58246066949616. Its totient is φ = 6400666697520.

The previous prime is 21122200102207. The next prime is 21122200102249. The reversal of 21122200102212 is 21220100222112.

It is a happy number.

21122200102212 is a `hidden beast` number, since 211 + 2 + 220 + 0 + 10 + 221 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×211222001022122 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26669444178 + ... + 26669444969.

It is an arithmetic number, because the mean of its divisors is an integer number (1617946304156).

Almost surely, 221122200102212 is an apocalyptic number.

21122200102212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122200102212 is an abundant number, since it is smaller than the sum of its proper divisors (37123866847404).

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

21122200102212 is a wasteful number, since it uses less digits than its factorization.

21122200102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53338889168 (or 53338889163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21122200102212 its reverse (21220100222112), we get a palindrome (42342300324324).

The spelling of 21122200102212 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 53338889147 106677778294 160016667441 213355556588 320033334882 480050002323 586727780617 640066669764 960100004646 1173455561234 1760183341851 1920200009292 2346911122468 3520366683702 5280550025553 7040733367404 10561100051106 21122200102212