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21322122432 = 2631317502501
BaseRepresentation
bin10011110110111001…
…011100010011000000
32001000222100001021020
4103312321130103000
5322131430404212
613443435025440
71353245023152
oct236671342300
961028301236
1021322122432
119051867196
12417089b280
13201a58a0c0
141063b24ad2
1584bd7ad8c
hex4f6e5c4c0

21322122432 has 112 divisors (see below), whose sum is σ = 64328296032. Its totient is φ = 6174720000.

The previous prime is 21322122407. The next prime is 21322122433. The reversal of 21322122432 is 23422122312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (21322122433) 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 15 ways as a sum of consecutive naturals, for example, 208819 + ... + 293682.

It is an arithmetic number, because the mean of its divisors is an integer number (574359786).

Almost surely, 221322122432 is an apocalyptic number.

It is an amenable number.

21322122432 is an abundant number, since it is smaller than the sum of its proper divisors (43006173600).

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

21322122432 is a wasteful number, since it uses less digits than its factorization.

21322122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502546 (or 502536 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 21322122432 its reverse (23422122312), we get a palindrome (44744244744).

The spelling of 21322122432 in words is "twenty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 42432 502501 1005002 1507503 2010004 3015006 4020008 6030012 6532513 8040016 8542517 12060024 13065026 16080032 17085034 19597539 24120048 25627551 26130052 32160064 34170068 39195078 48240096 51255102 52260104 68340136 78390156 96480192 102510204 104520208 111052721 136680272 156780312 205020408 209040416 222105442 273360544 313560624 333158163 410040816 418080832 444210884 546721088 627121248 666316326 820081632 888421768 1254242496 1332632652 1640163264 1776843536 2665265304 3553687072 5330530608 7107374144 10661061216 21322122432