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21322422312 = 2331723074167
BaseRepresentation
bin10011110110111010…
…100101100000101000
32001000222220021121220
4103312322211200220
5322132020003222
613443445302040
71353250412352
oct236672454050
961028807556
1021322422312
119051a51524
124170a04920
13201a663749
141063ba20d2
1584bdd9b5c
hex4f6ea5828

21322422312 has 48 divisors (see below), whose sum is σ = 56626174560. Its totient is φ = 6689385216.

The previous prime is 21322422311. The next prime is 21322422361.

21322422312 is nontrivially palindromic in base 10.

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 (21322422311) 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, 1530148 + ... + 1544019.

It is an arithmetic number, because the mean of its divisors is an integer number (1179711970).

Almost surely, 221322422312 is an apocalyptic number.

It is an amenable number.

21322422312 is an abundant number, since it is smaller than the sum of its proper divisors (35303752248).

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

21322422312 is a wasteful number, since it uses less digits than its factorization.

21322422312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074210 (or 3074189 counting only the distinct ones).

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

The spelling of 21322422312 in words is "twenty-one billion, three hundred twenty-two million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 3074167 6148334 9222501 12296668 18445002 24593336 36890004 52260839 73780008 104521678 156782517 209043356 313565034 418086712 627130068 888434263 1254260136 1776868526 2665302789 3553737052 5330605578 7107474104 10661211156 21322422312