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10638427321 is a prime number
BaseRepresentation
bin10011110100001100…
…11000010010111001
31000110102002002202201
421322012120102321
5133241414133241
64515350230201
7524426066044
oct117206302271
930412062681
1010638427321
11456a1299a5
12208a955361
13100704bb12
1472cc6dc5b
15423e6b931
hex27a1984b9

10638427321 has 2 divisors, whose sum is σ = 10638427322. Its totient is φ = 10638427320.

The previous prime is 10638427307. The next prime is 10638427391. The reversal of 10638427321 is 12372483601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9329434921 + 1308992400 = 96589^2 + 36180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10638427321 - 227 = 10504209593 is a prime.

It is a super-2 number, since 2×106384273212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10638427301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5319213660 + 5319213661.

It is an arithmetic number, because the mean of its divisors is an integer number (5319213661).

Almost surely, 210638427321 is an apocalyptic number.

It is an amenable number.

10638427321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10638427321 is an equidigital number, since it uses as much as digits as its factorization.

10638427321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10638427321 in words is "ten billion, six hundred thirty-eight million, four hundred twenty-seven thousand, three hundred twenty-one".