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12141409337 is a prime number
BaseRepresentation
bin10110100111010111…
…10011010000111001
31011100011012111111022
423103223303100321
5144331200044322
65324440312225
7606606163601
oct132353632071
934304174438
1012141409337
1151705665a2
12242a172675
1311b65464a5
1483270bc01
154b0da4942
hex2d3af3439

12141409337 has 2 divisors, whose sum is σ = 12141409338. Its totient is φ = 12141409336.

The previous prime is 12141409331. The next prime is 12141409339. The reversal of 12141409337 is 73390414121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11661624121 + 479785216 = 107989^2 + 21904^2 .

It is a cyclic number.

It is not a de Polignac number, because 12141409337 - 214 = 12141392953 is a prime.

Together with 12141409339, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12141409297 and 12141409306.

It is not a weakly prime, because it can be changed into another prime (12141409331) 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 as a sum of consecutive naturals, namely, 6070704668 + 6070704669.

It is an arithmetic number, because the mean of its divisors is an integer number (6070704669).

Almost surely, 212141409337 is an apocalyptic number.

It is an amenable number.

12141409337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12141409337 is an equidigital number, since it uses as much as digits as its factorization.

12141409337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 12141409337 in words is "twelve billion, one hundred forty-one million, four hundred nine thousand, three hundred thirty-seven".