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12335134155101 is a prime number
BaseRepresentation
bin1011001101111111111101…
…0010100010000101011101
31121200020010201010010200022
42303133333102202011131
53104044323320430401
642122403222041525
72412120060226052
oct263377722420535
947606121103608
1012335134155101
113a2633472191a
12147276b5792a5
136b6276483c84
14309048d8d029
15165ce9d0e71b
hexb37ff4a215d

12335134155101 has 2 divisors, whose sum is σ = 12335134155102. Its totient is φ = 12335134155100.

The previous prime is 12335134155083. The next prime is 12335134155103. The reversal of 12335134155101 is 10155143153321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11955869091076 + 379265064025 = 3457726^2 + 615845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12335134155101 is a prime.

It is a super-2 number, since 2×123351341551012 (a number of 27 digits) contains 22 as substring.

Together with 12335134155103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12335134155103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6167567077550 + 6167567077551.

It is an arithmetic number, because the mean of its divisors is an integer number (6167567077551).

Almost surely, 212335134155101 is an apocalyptic number.

It is an amenable number.

12335134155101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12335134155101 is an equidigital number, since it uses as much as digits as its factorization.

12335134155101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 12335134155101 in words is "twelve trillion, three hundred thirty-five billion, one hundred thirty-four million, one hundred fifty-five thousand, one hundred one".