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254121422100167 is a prime number
BaseRepresentation
bin111001110001111101000001…
…000110000001011011000111
31020022202202210211120210211102
4321301331001012001123013
5231302011133024201132
62300245434125530315
7104345444510624066
oct7161750106013307
91208682724523742
10254121422100167
1173a75320931016
122460252611399b
13aba47164b071b
1446a77846da1dd
151e5a43491cc62
hexe71f411816c7

254121422100167 has 2 divisors, whose sum is σ = 254121422100168. Its totient is φ = 254121422100166.

The previous prime is 254121422100109. The next prime is 254121422100223. The reversal of 254121422100167 is 761001224121452.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 254121422100167 - 224 = 254121405322951 is a prime.

It is a super-2 number, since 2×2541214221001672 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 254121422100167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (254121422100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127060711050083 + 127060711050084.

It is an arithmetic number, because the mean of its divisors is an integer number (127060711050084).

Almost surely, 2254121422100167 is an apocalyptic number.

254121422100167 is a deficient number, since it is larger than the sum of its proper divisors (1).

254121422100167 is an equidigital number, since it uses as much as digits as its factorization.

254121422100167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 254121422100167 in words is "two hundred fifty-four trillion, one hundred twenty-one billion, four hundred twenty-two million, one hundred thousand, one hundred sixty-seven".