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21120012228 = 22377323914411
BaseRepresentation
bin10011101010110110…
…011100111111000100
32000111220000210012010
4103222312130333010
5321223210342403
613411415054220
71345242066450
oct235266347704
960456023163
1021120012228
118a58772867
124115071370
131cb7744473
141044d53660
15839256603
hex4ead9cfc4

21120012228 has 96 divisors (see below), whose sum is σ = 57334394880. Its totient is φ = 5926314240.

The previous prime is 21120012197. The next prime is 21120012253. The reversal of 21120012228 is 82221002112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1458343 + ... + 1472753.

It is an arithmetic number, because the mean of its divisors is an integer number (597233280).

Almost surely, 221120012228 is an apocalyptic number.

21120012228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120012228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667197440).

21120012228 is an abundant number, since it is smaller than the sum of its proper divisors (36214382652).

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

21120012228 is a wasteful number, since it uses less digits than its factorization.

21120012228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14737 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 21120012228 in words is "twenty-one billion, one hundred twenty million, twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 239 292 438 478 511 717 876 956 1022 1434 1533 1673 2044 2868 3066 3346 5019 6132 6692 10038 14411 17447 20076 28822 34894 43233 52341 57644 69788 86466 100877 104682 122129 172932 201754 209364 244258 302631 366387 403508 488516 605262 732774 1052003 1210524 1465548 2104006 3156009 3444229 4208012 6312018 6888458 7364021 10332687 12624036 13776916 14728042 20665374 22092063 24109603 29456084 41330748 44184126 48219206 72328809 88368252 96438412 144657618 251428717 289315236 502857434 754286151 1005714868 1508572302 1760001019 3017144604 3520002038 5280003057 7040004076 10560006114 21120012228