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22132122221 = 113153110861
BaseRepresentation
bin10100100111001011…
…010110001001101101
32010010102111022002102
4110213023112021231
5330311310402341
614100052104445
71412311635446
oct244713261155
963112438072
1022132122221
119428008000
124358005125
132119331711
1410dd5342cd
1589802ac9b
hex5272d626d

22132122221 has 16 divisors (see below), whose sum is σ = 24361814976. Its totient is φ = 20105118000.

The previous prime is 22132122211. The next prime is 22132122247. The reversal of 22132122221 is 12222123122.

It is not a de Polignac number, because 22132122221 - 26 = 22132122157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22132122193 and 22132122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132122211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032331 + ... + 2043191.

It is an arithmetic number, because the mean of its divisors is an integer number (1522613436).

Almost surely, 222132122221 is an apocalyptic number.

It is an amenable number.

22132122221 is a deficient number, since it is larger than the sum of its proper divisors (2229692755).

22132122221 is a wasteful number, since it uses less digits than its factorization.

22132122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12425 (or 12403 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

Adding to 22132122221 its reverse (12222123122), we get a palindrome (34354245343).

Subtracting from 22132122221 its reverse (12222123122), we obtain a palindrome (9909999099).

The spelling of 22132122221 in words is "twenty-two billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 121 1331 1531 10861 16841 119471 185251 1314181 2037761 14455991 16628191 182910101 2012011111 22132122221