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10010257 is a prime number
BaseRepresentation
bin100110001011…
…111010010001
3200211120111021
4212023322101
510030312012
6554315441
7151041265
oct46137221
920746437
1010010257
115717944
123428b81
1320c643a
1414880a5
15d2b007
hex98be91

10010257 has 2 divisors, whose sum is σ = 10010258. Its totient is φ = 10010256.

The previous prime is 10010251. The next prime is 10010279. The reversal of 10010257 is 75201001.

10010257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9979281 + 30976 = 3159^2 + 176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010257 is a prime.

It is a super-3 number, since 3×100102573 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10010257.

It is not a weakly prime, because it can be changed into another prime (10010251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005128 + 5005129.

It is an arithmetic number, because the mean of its divisors is an integer number (5005129).

Almost surely, 210010257 is an apocalyptic number.

It is an amenable number.

10010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010257 is an equidigital number, since it uses as much as digits as its factorization.

10010257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10010257 is about 3163.8990186161. The cubic root of 10010257 is about 215.5171039552.

Adding to 10010257 its reverse (75201001), we get a palindrome (85211258).

The spelling of 10010257 in words is "ten million, ten thousand, two hundred fifty-seven".