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103201343122973 is a prime number
BaseRepresentation
bin10111011101110001101111…
…011001011010111000011101
3111112101221201001012012120112
4113131301233121122320131
5102011322322314413343
61003254013104055405
730511023326536634
oct2735615731327035
9445357631165515
10103201343122973
112a979497815237
12b6a9141004565
134577aca31b124
141b6ad8633451b
15bde785345218
hex5ddc6f65ae1d

103201343122973 has 2 divisors, whose sum is σ = 103201343122974. Its totient is φ = 103201343122972.

The previous prime is 103201343122909. The next prime is 103201343123107. The reversal of 103201343122973 is 379221343102301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93096967850329 + 10104375272644 = 9648677^2 + 3178738^2 .

It is a cyclic number.

It is not a de Polignac number, because 103201343122973 - 26 = 103201343122909 is a prime.

It is a super-3 number, since 3×1032013431229733 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103201343122973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103201348122973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51600671561486 + 51600671561487.

It is an arithmetic number, because the mean of its divisors is an integer number (51600671561487).

Almost surely, 2103201343122973 is an apocalyptic number.

It is an amenable number.

103201343122973 is a deficient number, since it is larger than the sum of its proper divisors (1).

103201343122973 is an equidigital number, since it uses as much as digits as its factorization.

103201343122973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 103201343122973 in words is "one hundred three trillion, two hundred one billion, three hundred forty-three million, one hundred twenty-two thousand, nine hundred seventy-three".