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21321312024 = 23329181169249
BaseRepresentation
bin10011110110110110…
…010110011100011000
32001000220210212121010
4103312312112130120
5322131223441044
613443405413520
71353235106355
oct236666263430
961026725533
1021321312024
119051363331
12417056a2a0
13201a36527c
14106399362c
1584bc6abb9
hex4f6d96718

21321312024 has 64 divisors (see below), whose sum is σ = 55446300000. Its totient is φ = 6824079360.

The previous prime is 21321312013. The next prime is 21321312031. The reversal of 21321312024 is 42021312312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41352 + ... + 210600.

Almost surely, 221321312024 is an apocalyptic number.

21321312024 is a gapful number since it is divisible by the number (24) 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 21321312024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27723150000).

21321312024 is an abundant number, since it is smaller than the sum of its proper divisors (34124987976).

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

21321312024 is a wasteful number, since it uses less digits than its factorization.

21321312024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169468 (or 169464 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21321312024 its reverse (42021312312), we get a palindrome (63342624336).

The spelling of 21321312024 in words is "twenty-one billion, three hundred twenty-one million, three hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 181 232 348 362 543 696 724 1086 1448 2172 4344 5249 10498 15747 20996 31494 41992 62988 125976 169249 338498 507747 676996 1015494 1353992 2030988 4061976 4908221 9816442 14724663 19632884 29449326 30634069 39265768 58898652 61268138 91902207 117797304 122536276 183804414 245072552 367608828 735217656 888388001 1776776002 2665164003 3553552004 5330328006 7107104008 10660656012 21321312024