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30001401257 is a prime number
BaseRepresentation
bin11011111100001110…
…010000110110101001
32212102211221002112112
4123330032100312221
5442420324320012
621441002052105
72111314463102
oct337416206651
985384832475
1030001401257
11117a60108a3
1259934aa035
132aa1765b49
1416486d13a9
15ba8d04122
hex6fc390da9

30001401257 has 2 divisors, whose sum is σ = 30001401258. Its totient is φ = 30001401256.

The previous prime is 30001401229. The next prime is 30001401263. The reversal of 30001401257 is 75210410003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27938788201 + 2062613056 = 167149^2 + 45416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30001401257 is a prime.

It is not a weakly prime, because it can be changed into another prime (30001400257) 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, 15000700628 + 15000700629.

It is an arithmetic number, because the mean of its divisors is an integer number (15000700629).

Almost surely, 230001401257 is an apocalyptic number.

It is an amenable number.

30001401257 is a deficient number, since it is larger than the sum of its proper divisors (1).

30001401257 is an equidigital number, since it uses as much as digits as its factorization.

30001401257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 30001401257 in words is "thirty billion, one million, four hundred one thousand, two hundred fifty-seven".