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12101223137 is a prime number
BaseRepresentation
bin10110100010100101…
…00000001011100001
31011020100120211101112
423101102200023201
5144240403120022
65320443113105
7605610461633
oct132122401341
934210524345
1012101223137
11514a909063
122418812795
1311ab115c83
1482b24aa53
154ac5b78e2
hex2d14a02e1

12101223137 has 2 divisors, whose sum is σ = 12101223138. Its totient is φ = 12101223136.

The previous prime is 12101223133. The next prime is 12101223161. The reversal of 12101223137 is 73132210121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11605537441 + 495685696 = 107729^2 + 22264^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101223137 - 22 = 12101223133 is a prime.

It is a super-2 number, since 2×121012231372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12101223133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050611568 + 6050611569.

It is an arithmetic number, because the mean of its divisors is an integer number (6050611569).

Almost surely, 212101223137 is an apocalyptic number.

It is an amenable number.

12101223137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101223137 is an equidigital number, since it uses as much as digits as its factorization.

12101223137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 12101223137 its reverse (73132210121), we get a palindrome (85233433258).

The spelling of 12101223137 in words is "twelve billion, one hundred one million, two hundred twenty-three thousand, one hundred thirty-seven".