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10123485761 is a prime number
BaseRepresentation
bin10010110110110100…
…00010001001000001
3222010112010100202002
421123122002021001
5131213103021021
64352313233345
7505604131514
oct113332021101
928115110662
1010123485761
114325497764
121b66402855
13c54464b7c
146c0708d7b
153e3b5150b
hex25b682241

10123485761 has 2 divisors, whose sum is σ = 10123485762. Its totient is φ = 10123485760.

The previous prime is 10123485721. The next prime is 10123485769. The reversal of 10123485761 is 16758432101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7800245761 + 2323240000 = 88319^2 + 48200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123485761 - 210 = 10123484737 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123485769) 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, 5061742880 + 5061742881.

It is an arithmetic number, because the mean of its divisors is an integer number (5061742881).

Almost surely, 210123485761 is an apocalyptic number.

It is an amenable number.

10123485761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123485761 is an equidigital number, since it uses as much as digits as its factorization.

10123485761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10123485761 in words is "ten billion, one hundred twenty-three million, four hundred eighty-five thousand, seven hundred sixty-one".