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21322310031 = 32111731244953
BaseRepresentation
bin10011110110111010…
…001010000110001111
32001000222200120121100
4103312322022012033
5322132002410111
613443443034143
71353246434121
oct236672120617
961028616540
1021322310031
119051985130
12417096b953
13201a6245c9
141063b73211
1584bdb6756
hex4f6e8a18f

21322310031 has 24 divisors (see below), whose sum is σ = 33793031376. Its totient is φ = 12847904640.

The previous prime is 21322310029. The next prime is 21322310033. The reversal of 21322310031 is 13001322312.

21322310031 is a `hidden beast` number, since 2 + 1 + 322 + 310 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (21322310029) and next prime (21322310033).

It is not a de Polignac number, because 21322310031 - 21 = 21322310029 is a prime.

It is a super-2 number, since 2×213223100312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21322309986 and 21322310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322310033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 605350 + ... + 639603.

It is an arithmetic number, because the mean of its divisors is an integer number (1408042974).

Almost surely, 221322310031 is an apocalyptic number.

21322310031 is a deficient number, since it is larger than the sum of its proper divisors (12470721345).

21322310031 is a wasteful number, since it uses less digits than its factorization.

21322310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245143 (or 1245140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21322310031 its reverse (13001322312), we get a palindrome (34323632343).

The spelling of 21322310031 in words is "twenty-one billion, three hundred twenty-two million, three hundred ten thousand, thirty-one".

Divisors: 1 3 9 11 33 99 173 519 1557 1903 5709 17127 1244953 3734859 11204577 13694483 41083449 123250347 215376869 646130607 1938391821 2369145559 7107436677 21322310031