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11757612404201 is a prime number
BaseRepresentation
bin1010101100011000100001…
…0011111000110111101001
31112122000110020001110002112
42223012020103320313221
53020114042233413301
641001212250412105
72322313411313006
oct253061023706751
945560406043075
1011757612404201
1138234147555a4
12139a854731035
136739797864a1
142c91001bc8ad
15155c9858d9bb
hexab1884f8de9

11757612404201 has 2 divisors, whose sum is σ = 11757612404202. Its totient is φ = 11757612404200.

The previous prime is 11757612404183. The next prime is 11757612404203. The reversal of 11757612404201 is 10240421675711.

It is a happy number.

11757612404201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9320204515801 + 2437407888400 = 3052901^2 + 1561220^2 .

It is a cyclic number.

It is not a de Polignac number, because 11757612404201 - 26 = 11757612404137 is a prime.

Together with 11757612404203, 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 (11757612404203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5878806202100 + 5878806202101.

It is an arithmetic number, because the mean of its divisors is an integer number (5878806202101).

Almost surely, 211757612404201 is an apocalyptic number.

It is an amenable number.

11757612404201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11757612404201 is an equidigital number, since it uses as much as digits as its factorization.

11757612404201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 11757612404201 in words is "eleven trillion, seven hundred fifty-seven billion, six hundred twelve million, four hundred four thousand, two hundred one".