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254052151121 is a prime number
BaseRepresentation
bin1110110010011010110…
…0000010111101010001
3220021202022221110110102
43230212230002331101
513130244322313441
6312413203142145
724232435440266
oct3544654027521
9807668843412
10254052151121
11988198a837a
12412a1674955
131ac5973cb52
14c420a5d26d
15691d94169b
hex3b26b02f51

254052151121 has 2 divisors, whose sum is σ = 254052151122. Its totient is φ = 254052151120.

The previous prime is 254052151079. The next prime is 254052151151. The reversal of 254052151121 is 121151250452.

254052151121 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., 134084130625 + 119968020496 = 366175^2 + 346364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-254052151121 is a prime.

It is not a weakly prime, because it can be changed into another prime (254052151151) 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, 127026075560 + 127026075561.

It is an arithmetic number, because the mean of its divisors is an integer number (127026075561).

Almost surely, 2254052151121 is an apocalyptic number.

It is an amenable number.

254052151121 is a deficient number, since it is larger than the sum of its proper divisors (1).

254052151121 is an equidigital number, since it uses as much as digits as its factorization.

254052151121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 254052151121 in words is "two hundred fifty-four billion, fifty-two million, one hundred fifty-one thousand, one hundred twenty-one".