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21312332319 = 31719292812699
BaseRepresentation
bin10011110110010100…
…000110001000011111
32001000021220122202110
4103312110012020133
5322121424113234
613442445125103
71353065556435
oct236624061037
961007818673
1021312332319
11904728a793
124169559793
13201853cc35
1410626d6d55
1584b0951e9
hex4f650621f

21312332319 has 64 divisors (see below), whose sum is σ = 32892480000. Its totient is φ = 12183736320.

The previous prime is 21312332309. The next prime is 21312332333. The reversal of 21312332319 is 91323321312.

It is not a de Polignac number, because 21312332319 - 213 = 21312324127 is a prime.

It is a super-2 number, since 2×213123323192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312332309) 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 63 ways as a sum of consecutive naturals, for example, 7895032 + ... + 7897730.

It is an arithmetic number, because the mean of its divisors is an integer number (513945000).

Almost surely, 221312332319 is an apocalyptic number.

21312332319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

21312332319 is a deficient number, since it is larger than the sum of its proper divisors (11580147681).

21312332319 is a wasteful number, since it uses less digits than its factorization.

21312332319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048.

The product of its digits is 5832, while the sum is 30.

The spelling of 21312332319 in words is "twenty-one billion, three hundred twelve million, three hundred thirty-two thousand, three hundred nineteen".

Divisors: 1 3 17 19 29 51 57 87 281 323 493 551 843 969 1479 1653 2699 4777 5339 8097 8149 9367 14331 16017 24447 28101 45883 51281 78271 90763 137649 138533 153843 154831 234813 272289 415599 464493 758419 871777 1330607 1487149 2275257 2615331 2632127 3991821 4461447 7896381 12893123 14409961 21994151 25281533 38679369 43229883 65982453 75844599 244969337 373900567 417888869 734908011 1121701701 1253666607 7104110773 21312332319