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10075268417 is a prime number
BaseRepresentation
bin10010110001000100…
…00110010101000001
3222000011101122222112
421120202012111001
5131113232042132
64343431545105
7504450240254
oct113042062501
928004348875
1010075268417
114300254315
121b5222b195
13c47481cb6
146b815709b
153de7c9ab2
hex258886541

10075268417 has 2 divisors, whose sum is σ = 10075268418. Its totient is φ = 10075268416.

The previous prime is 10075268383. The next prime is 10075268471. The reversal of 10075268417 is 71486257001.

Together with next prime (10075268471) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6532518976 + 3542749441 = 80824^2 + 59521^2 .

It is a cyclic number.

It is not a de Polignac number, because 10075268417 - 212 = 10075264321 is a prime.

It is a super-2 number, since 2×100752684172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10075268477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5037634208 + 5037634209.

It is an arithmetic number, because the mean of its divisors is an integer number (5037634209).

Almost surely, 210075268417 is an apocalyptic number.

It is an amenable number.

10075268417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10075268417 is an equidigital number, since it uses as much as digits as its factorization.

10075268417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 10075268417 in words is "ten billion, seventy-five million, two hundred sixty-eight thousand, four hundred seventeen".