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21324424212 = 223271331209977
BaseRepresentation
bin10011110111000010…
…001110010000010100
32001001010122222201100
4103313002032100110
5322133023033322
613444000230100
71353303420660
oct236702162024
961033588640
1021324424212
119053099593
12417160b330
13201abb49c0
1410641638a0
1584c182dac
hex4f708e414

21324424212 has 144 divisors (see below), whose sum is σ = 68483064832. Its totient is φ = 5442577920.

The previous prime is 21324424211. The next prime is 21324424229. The reversal of 21324424212 is 21242442312.

It is a happy number.

21324424212 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 442 + 4 + 212 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21324424211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433 + ... + 206544.

Almost surely, 221324424212 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 21324424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34241532416).

21324424212 is an abundant number, since it is smaller than the sum of its proper divisors (47158640620).

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

21324424212 is a wasteful number, since it uses less digits than its factorization.

21324424212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210038 (or 210033 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 21324424212 its reverse (21242442312), we get a palindrome (42566866524).

The spelling of 21324424212 in words is "twenty-one billion, three hundred twenty-four million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 50778 101556 209977 419954 629931 839908 1259862 1469839 1889793 2519724 2729701 2939678 3779586 4409517 5459402 5879356 6509287 7559172 8189103 8819034 10918804 13018574 13228551 16378206 17638068 19107907 19527861 24567309 26037148 26457102 32756412 38215814 39055722 45565009 49134618 52914204 57323721 58583583 76431628 78111444 84620731 91130018 98269236 114647442 117167166 136695027 169241462 171971163 182260036 229294884 234334332 253862193 273390054 338482924 343942326 410085081 507724386 546780108 592345117 687884652 761586579 820170162 1015448772 1184690234 1523173158 1640340324 1777035351 2369380468 3046346316 3554070702 5331106053 7108141404 10662212106 21324424212