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164354173301 is a prime number
BaseRepresentation
bin1001100100010001000…
…1011010100101110101
3120201020010101001212202
42121010101122211311
510143044132021201
6203300412154245
714605564265003
oct2310421324565
9521203331782
10164354173301
116377a711a9a
1227a29a68985
1312663375c26
147d51cdda73
15441dd72c6b
hex264445a975

164354173301 has 2 divisors, whose sum is σ = 164354173302. Its totient is φ = 164354173300.

The previous prime is 164354173297. The next prime is 164354173303. The reversal of 164354173301 is 103371453461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164349970801 + 4202500 = 405401^2 + 2050^2 .

It is a cyclic number.

It is not a de Polignac number, because 164354173301 - 22 = 164354173297 is a prime.

Together with 164354173303, 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 (164354173303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82177086650 + 82177086651.

It is an arithmetic number, because the mean of its divisors is an integer number (82177086651).

Almost surely, 2164354173301 is an apocalyptic number.

It is an amenable number.

164354173301 is a deficient number, since it is larger than the sum of its proper divisors (1).

164354173301 is an equidigital number, since it uses as much as digits as its factorization.

164354173301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 164354173301 in words is "one hundred sixty-four billion, three hundred fifty-four million, one hundred seventy-three thousand, three hundred one".