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21320430012 = 22337211133657
BaseRepresentation
bin10011110110110010…
…111111000110111100
32001000212011001201000
4103312302333012330
5322131012230022
613443334450300
71353224444040
oct236662770674
961025131630
1021320430012
1190509106a2
124170203990
13201a11697b
141063804020
1584bb446ac
hex4f6cbf1bc

21320430012 has 96 divisors (see below), whose sum is σ = 63471511040. Its totient is φ = 6062636160.

The previous prime is 21320429993. The next prime is 21320430023. The reversal of 21320430012 is 21003402312.

21320430012 is a `hidden beast` number, since 213 + 20 + 430 + 0 + 1 + 2 = 666.

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

It is a congruent number.

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, 92688 + ... + 226344.

Almost surely, 221320430012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31735755520).

21320430012 is an abundant number, since it is smaller than the sum of its proper divisors (42151081028).

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

21320430012 is a wasteful number, since it uses less digits than its factorization.

21320430012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133888 (or 133880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21320430012 its reverse (21003402312), we get a palindrome (42323832324).

The spelling of 21320430012 in words is "twenty-one billion, three hundred twenty million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 211 252 378 422 633 756 844 1266 1477 1899 2532 2954 3798 4431 5697 5908 7596 8862 11394 13293 17724 22788 26586 39879 53172 79758 133657 159516 267314 400971 534628 801942 935599 1202913 1603884 1871198 2405826 2806797 3608739 3742396 4811652 5613594 7217478 8420391 11227188 14434956 16840782 25261173 28201627 33681564 50522346 56403254 84604881 101044692 112806508 169209762 197411389 253814643 338419524 394822778 507629286 592234167 761443929 789645556 1015258572 1184468334 1522887858 1776702501 2368936668 3045775716 3553405002 5330107503 7106810004 10660215006 21320430012