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12101223313 is a prime number
BaseRepresentation
bin10110100010100101…
…00000001110010001
31011020100120211122001
423101102200032101
5144240403121223
65320443114001
7605610462304
oct132122401621
934210524561
1012101223313
11514a909203
122418812901
1311ab11608a
1482b24ab3b
154ac5b79ad
hex2d14a0391

12101223313 has 2 divisors, whose sum is σ = 12101223314. Its totient is φ = 12101223312.

The previous prime is 12101223307. The next prime is 12101223353. The reversal of 12101223313 is 31332210121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8973393984 + 3127829329 = 94728^2 + 55927^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12101223313 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101223353) 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, 6050611656 + 6050611657.

It is an arithmetic number, because the mean of its divisors is an integer number (6050611657).

Almost surely, 212101223313 is an apocalyptic number.

It is an amenable number.

12101223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101223313 is an equidigital number, since it uses as much as digits as its factorization.

12101223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12101223313 its reverse (31332210121), we get a palindrome (43433433434).

The spelling of 12101223313 in words is "twelve billion, one hundred one million, two hundred twenty-three thousand, three hundred thirteen".