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21122112221 = 747389165041
BaseRepresentation
bin10011101010111110…
…011101101011011101
32000112000222110211122
4103222332131223131
5321224230042341
613411532100325
71345265664050
oct235276355335
960460873748
1021122112221
118a599775a1
1241159046a5
131cb7ccb272
14104533ca97
1583951d94b
hex4eaf9dadd

21122112221 has 16 divisors (see below), whose sum is σ = 24716689920. Its totient is φ = 17673803520.

The previous prime is 21122112217. The next prime is 21122112227. The reversal of 21122112221 is 12221122112.

It is a cyclic number.

It is not a de Polignac number, because 21122112221 - 22 = 21122112217 is a prime.

It is a super-2 number, since 2×211221122212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21122112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45461 + ... + 210501.

It is an arithmetic number, because the mean of its divisors is an integer number (1544793120).

Almost surely, 221122112221 is an apocalyptic number.

It is an amenable number.

21122112221 is a deficient number, since it is larger than the sum of its proper divisors (3594577699).

21122112221 is a wasteful number, since it uses less digits than its factorization.

21122112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165484.

The product of its digits is 64, while the sum is 17.

Adding to 21122112221 its reverse (12221122112), we get a palindrome (33343234333).

The spelling of 21122112221 in words is "twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 47 329 389 2723 18283 127981 165041 1155287 7756927 54298489 64200949 449406643 3017444603 21122112221