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254103034153 is a prime number
BaseRepresentation
bin1110110010100110111…
…0001001100100101001
3220021212212200120212011
43230221232021210221
513130400334043103
6312422221515521
724233624103313
oct3545156114451
9807785616764
10254103034153
11988455a1571
12412b6712ba1
131ac67147157
14c4277067b3
156923142d6d
hex3b29b89929

254103034153 has 2 divisors, whose sum is σ = 254103034154. Its totient is φ = 254103034152.

The previous prime is 254103034109. The next prime is 254103034181. The reversal of 254103034153 is 351430301452.

254103034153 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., 223381007424 + 30722026729 = 472632^2 + 175277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-254103034153 is a prime.

It is not a weakly prime, because it can be changed into another prime (254103034183) 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, 127051517076 + 127051517077.

It is an arithmetic number, because the mean of its divisors is an integer number (127051517077).

Almost surely, 2254103034153 is an apocalyptic number.

It is an amenable number.

254103034153 is a deficient number, since it is larger than the sum of its proper divisors (1).

254103034153 is an equidigital number, since it uses as much as digits as its factorization.

254103034153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 254103034153 in words is "two hundred fifty-four billion, one hundred three million, thirty-four thousand, one hundred fifty-three".