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10257775273 is a prime number
BaseRepresentation
bin10011000110110100…
…10011101010101001
3222110212210222022201
421203122103222221
5132001442302043
64413511420201
7512124436234
oct114332235251
928425728281
1010257775273
114394279429
121ba3384661
13c76222c15
146d44a441b
1540082ac4d
hex263693aa9

10257775273 has 2 divisors, whose sum is σ = 10257775274. Its totient is φ = 10257775272.

The previous prime is 10257775247. The next prime is 10257775289. The reversal of 10257775273 is 37257775201.

10257775273 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., 9137065744 + 1120709529 = 95588^2 + 33477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10257775273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10257775243) 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, 5128887636 + 5128887637.

It is an arithmetic number, because the mean of its divisors is an integer number (5128887637).

Almost surely, 210257775273 is an apocalyptic number.

It is an amenable number.

10257775273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257775273 is an equidigital number, since it uses as much as digits as its factorization.

10257775273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720300, while the sum is 46.

The spelling of 10257775273 in words is "ten billion, two hundred fifty-seven million, seven hundred seventy-five thousand, two hundred seventy-three".