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254100401 is a prime number
BaseRepresentation
bin11110010010101…
…00001110110001
3122201010122012222
433021110032301
51010022203101
641114130425
76203550332
oct1711241661
9581118188
10254100401
11120484435
1271120a15
1340849b89
1425a66289
151749401b
hexf2543b1

254100401 has 2 divisors, whose sum is σ = 254100402. Its totient is φ = 254100400.

The previous prime is 254100383. The next prime is 254100403. The reversal of 254100401 is 104001452.

254100401 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., 237899776 + 16200625 = 15424^2 + 4025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-254100401 is a prime.

Together with 254100403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 254100401.

It is not a weakly prime, because it can be changed into another prime (254100403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127050200 + 127050201.

It is an arithmetic number, because the mean of its divisors is an integer number (127050201).

Almost surely, 2254100401 is an apocalyptic number.

It is an amenable number.

254100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

254100401 is an equidigital number, since it uses as much as digits as its factorization.

254100401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 254100401 is about 15940.5269988166. The cubic root of 254100401 is about 633.3859859888.

Adding to 254100401 its reverse (104001452), we get a palindrome (358101853).

The spelling of 254100401 in words is "two hundred fifty-four million, one hundred thousand, four hundred one".