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21312332320 = 255252152837
BaseRepresentation
bin10011110110010100…
…000110001000100000
32001000021220122202111
4103312110012020200
5322121424113240
613442445125104
71353065556436
oct236624061040
961007818674
1021312332320
11904728a794
124169559794
13201853cc36
1410626d6d56
1584b0951ea
hex4f6506220

21312332320 has 48 divisors (see below), whose sum is σ = 50371310808. Its totient is φ = 8521390080.

The previous prime is 21312332309. The next prime is 21312332333. The reversal of 21312332320 is 2323321312.

It can be written as a sum of positive squares in 4 ways, for example, as 2607940624 + 18704391696 = 51068^2 + 136764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21312332291 and 21312332300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376942 + ... + 429778.

Almost surely, 221312332320 is an apocalyptic number.

21312332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312332320 is an abundant number, since it is smaller than the sum of its proper divisors (29058978488).

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

21312332320 is a wasteful number, since it uses less digits than its factorization.

21312332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55373 (or 55365 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21312332320 its reverse (2323321312), we get a palindrome (23635653632).

The spelling of 21312332320 in words is "twenty-one billion, three hundred twelve million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2521 5042 10084 12605 20168 25210 40336 50420 52837 80672 100840 105674 201680 211348 264185 403360 422696 528370 845392 1056740 1690784 2113480 4226960 8453920 133202077 266404154 532808308 666010385 1065616616 1332020770 2131233232 2664041540 4262466464 5328083080 10656166160 21312332320