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12223102131137 is a prime number
BaseRepresentation
bin1011000111011110100110…
…1010010001101111000001
31121021111222000002122110102
42301313221222101233001
53100230403121144022
641555114323012145
72401042602565352
oct261675152215701
947244860078412
1012223102131137
113992874552067
121454b0420a055
136a8830ca9731
1430385bd75d29
15162e3e62aa92
hexb1de9a91bc1

12223102131137 has 2 divisors, whose sum is σ = 12223102131138. Its totient is φ = 12223102131136.

The previous prime is 12223102131113. The next prime is 12223102131203. The reversal of 12223102131137 is 73113120132221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12000189728641 + 222912402496 = 3464129^2 + 472136^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223102131137 - 26 = 12223102131073 is a prime.

It is a super-2 number, since 2×122231021311372 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12223102131437) 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 as a sum of consecutive naturals, namely, 6111551065568 + 6111551065569.

It is an arithmetic number, because the mean of its divisors is an integer number (6111551065569).

Almost surely, 212223102131137 is an apocalyptic number.

It is an amenable number.

12223102131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223102131137 is an equidigital number, since it uses as much as digits as its factorization.

12223102131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 12223102131137 its reverse (73113120132221), we get a palindrome (85336222263358).

The spelling of 12223102131137 in words is "twelve trillion, two hundred twenty-three billion, one hundred two million, one hundred thirty-one thousand, one hundred thirty-seven".