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21311313312 = 2536123315619
BaseRepresentation
bin10011110110010000…
…001101010110100000
32001000012222212221110
4103312100031112200
5322121144011222
613442411223320
71353054113532
oct236620152640
961005885843
1021311313312
119046754133
124169147b40
132018274183
14106250d852
1584ae4330c
hex4f640d5a0

21311313312 has 96 divisors (see below), whose sum is σ = 57106969920. Its totient is φ = 6956881920.

The previous prime is 21311313281. The next prime is 21311313329. The reversal of 21311313312 is 21331311312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356639 + ... + 1372257.

It is an arithmetic number, because the mean of its divisors is an integer number (594864270).

Almost surely, 221311313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28553484960).

21311313312 is an abundant number, since it is smaller than the sum of its proper divisors (35795656608).

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

21311313312 is a wasteful number, since it uses less digits than its factorization.

21311313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926 (or 15918 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 21311313312 its reverse (21331311312), we get a palindrome (42642624624).

The spelling of 21311313312 in words is "twenty-one billion, three hundred eleven million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 233 244 366 466 488 699 732 932 976 1398 1464 1864 1952 2796 2928 3728 5592 5856 7456 11184 14213 15619 22368 28426 31238 42639 46857 56852 62476 85278 93714 113704 124952 170556 187428 227408 249904 341112 374856 454816 499808 682224 749712 952759 1364448 1499424 1905518 2858277 3639227 3811036 5716554 7278454 7622072 10917681 11433108 14556908 15244144 21835362 22866216 29113816 30488288 43670724 45732432 58227632 87341448 91464864 116455264 174682896 221992847 349365792 443985694 665978541 887971388 1331957082 1775942776 2663914164 3551885552 5327828328 7103771104 10655656656 21311313312