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10202223257 is a prime number
BaseRepresentation
bin10011000000001100…
…11001001010011001
3222100000021122021122
421200012121022121
5131343232121012
64404205015025
7510551316062
oct114006311231
928300248248
1010202223257
114365986376
121b88854475
13c678726c5
146cad63569
153eaa05e72
hex260199299

10202223257 has 2 divisors, whose sum is σ = 10202223258. Its totient is φ = 10202223256.

The previous prime is 10202223217. The next prime is 10202223313. The reversal of 10202223257 is 75232220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9920956816 + 281266441 = 99604^2 + 16771^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202223257 - 232 = 5907255961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202223217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101111628 + 5101111629.

It is an arithmetic number, because the mean of its divisors is an integer number (5101111629).

Almost surely, 210202223257 is an apocalyptic number.

It is an amenable number.

10202223257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202223257 is an equidigital number, since it uses as much as digits as its factorization.

10202223257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 26.

Adding to 10202223257 its reverse (75232220201), we get a palindrome (85434443458).

The spelling of 10202223257 in words is "ten billion, two hundred two million, two hundred twenty-three thousand, two hundred fifty-seven".