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12338420221 is a prime number
BaseRepresentation
bin10110111110110110…
…10101100111111101
31011211212220200121201
423133123111213331
5200232113421341
65400155055501
7614520561421
oct133733254775
934755820551
1012338420221
115261797806
122484141591
1312182c508a
14850952b81
154c331d331
hex2df6d59fd

12338420221 has 2 divisors, whose sum is σ = 12338420222. Its totient is φ = 12338420220.

The previous prime is 12338420201. The next prime is 12338420261. The reversal of 12338420221 is 12202483321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10864935225 + 1473484996 = 104235^2 + 38386^2 .

It is a cyclic number.

It is not a de Polignac number, because 12338420221 - 27 = 12338420093 is a prime.

It is a super-2 number, since 2×123384202212 (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 12338420221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12338420201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6169210110 + 6169210111.

It is an arithmetic number, because the mean of its divisors is an integer number (6169210111).

Almost surely, 212338420221 is an apocalyptic number.

It is an amenable number.

12338420221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12338420221 is an equidigital number, since it uses as much as digits as its factorization.

12338420221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 12338420221 in words is "twelve billion, three hundred thirty-eight million, four hundred twenty thousand, two hundred twenty-one".