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21122000331 = 3291129921487
BaseRepresentation
bin10011101010111110…
…000010010111001011
32000112000202210100120
4103222332002113023
5321224213002311
613411525434323
71345265016615
oct235276022713
960460683316
1021122000331
118a59900523
12411586b9a3
131cb7c8c363
14104530ddb5
158394ea706
hex4eaf825cb

21122000331 has 16 divisors (see below), whose sum is σ = 29137728000. Its totient is φ = 13593934368.

The previous prime is 21122000327. The next prime is 21122000399. The reversal of 21122000331 is 13300022112.

It is not a de Polignac number, because 21122000331 - 22 = 21122000327 is a prime.

It is a super-2 number, since 2×211220003312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122000331.

It is not an unprimeable number, because it can be changed into a prime (21122050331) 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 15 ways as a sum of consecutive naturals, for example, 972270 + ... + 993756.

It is an arithmetic number, because the mean of its divisors is an integer number (1821108000).

Almost surely, 221122000331 is an apocalyptic number.

21122000331 is a deficient number, since it is larger than the sum of its proper divisors (8015727669).

21122000331 is a wasteful number, since it uses less digits than its factorization.

21122000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32818.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21122000331 its reverse (13300022112), we get a palindrome (34422022443).

The spelling of 21122000331 in words is "twenty-one billion, one hundred twenty-two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 29 87 11299 21487 33897 64461 327671 623123 983013 1869369 242781613 728344839 7040666777 21122000331