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136421384142401 is a prime number
BaseRepresentation
bin11111000001001100010100…
…001001000011111001000001
3122220000202102211011012022222
4133001030110021003321001
5120340111443320024101
61202051041345340425
740510056034266311
oct3701142411037101
9586022384135288
10136421384142401
113a516a90939736
1213373465637715
135b176346168c7
142598b8a1bb441
1510b897745701b
hex7c1314243e41

136421384142401 has 2 divisors, whose sum is σ = 136421384142402. Its totient is φ = 136421384142400.

The previous prime is 136421384142311. The next prime is 136421384142403. The reversal of 136421384142401 is 104241483124631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136207222516225 + 214161626176 = 11670785^2 + 462776^2 .

It is a cyclic number.

It is not a de Polignac number, because 136421384142401 - 226 = 136421317033537 is a prime.

It is a super-2 number, since 2×1364213841424012 (a number of 29 digits) contains 22 as substring.

Together with 136421384142403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (136421384142403) 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, 68210692071200 + 68210692071201.

It is an arithmetic number, because the mean of its divisors is an integer number (68210692071201).

Almost surely, 2136421384142401 is an apocalyptic number.

It is an amenable number.

136421384142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

136421384142401 is an equidigital number, since it uses as much as digits as its factorization.

136421384142401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 136421384142401 in words is "one hundred thirty-six trillion, four hundred twenty-one billion, three hundred eighty-four million, one hundred forty-two thousand, four hundred one".