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21122103312 = 2432197720067
BaseRepresentation
bin10011101010111110…
…011011100000010000
32000112000222000121200
4103222332123200100
5321224224301222
613411531551200
71345265626062
oct235276334020
960460860550
1021122103312
118a59970932
1241158bb500
131cb7cc71ab
141045339732
1583951aeac
hex4eaf9b810

21122103312 has 60 divisors (see below), whose sum is σ = 62223748080. Its totient is φ = 6670137024.

The previous prime is 21122103269. The next prime is 21122103319. The reversal of 21122103312 is 21330122112.

It is a super-2 number, since 2×211221033122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21122103319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3857298 + ... + 3862769.

It is an arithmetic number, because the mean of its divisors is an integer number (1037062468).

Almost surely, 221122103312 is an apocalyptic number.

It is an amenable number.

21122103312 is an abundant number, since it is smaller than the sum of its proper divisors (41101644768).

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

21122103312 is a wasteful number, since it uses less digits than its factorization.

21122103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720100 (or 7720091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122103312 its reverse (21330122112), we get a palindrome (42452225424).

The spelling of 21122103312 in words is "twenty-one billion, one hundred twenty-two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 7720067 15440134 23160201 30880268 46320402 61760536 69480603 92640804 123521072 138961206 146681273 185281608 277922412 293362546 370563216 440043819 555844824 586725092 880087638 1111689648 1173450184 1320131457 1760175276 2346900368 2640262914 3520350552 5280525828 7040701104 10561051656 21122103312