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10211012257 is a prime number
BaseRepresentation
bin10011000001001111…
…11010111010100001
3222100121211011112011
421200213322322201
5131403004343012
64405121232521
7511016113015
oct114047727241
928317734464
1010211012257
11436a939706
121b8b792741
13c6962bcb4
146cc1b0545
153eb6901a7
hex2609faea1

10211012257 has 2 divisors, whose sum is σ = 10211012258. Its totient is φ = 10211012256.

The previous prime is 10211012249. The next prime is 10211012299. The reversal of 10211012257 is 75221011201.

10211012257 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., 8690714176 + 1520298081 = 93224^2 + 38991^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211012257 - 23 = 10211012249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211012557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105506128 + 5105506129.

It is an arithmetic number, because the mean of its divisors is an integer number (5105506129).

Almost surely, 210211012257 is an apocalyptic number.

It is an amenable number.

10211012257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211012257 is an equidigital number, since it uses as much as digits as its factorization.

10211012257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 10211012257 its reverse (75221011201), we get a palindrome (85432023458).

The spelling of 10211012257 in words is "ten billion, two hundred eleven million, twelve thousand, two hundred fifty-seven".