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10329097729 is a prime number
BaseRepresentation
bin10011001111010100…
…11000011000000001
3222122212000112100011
421213222120120001
5132123222111404
64424540224521
7513651611356
oct114752303001
928585015304
1010329097729
114420563005
12200323b141
13c87c35662
146ddb4c62d
15406c18604
hex267a98601

10329097729 has 2 divisors, whose sum is σ = 10329097730. Its totient is φ = 10329097728.

The previous prime is 10329097721. The next prime is 10329097741. The reversal of 10329097729 is 92779092301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7935246400 + 2393851329 = 89080^2 + 48927^2 .

It is a cyclic number.

It is not a de Polignac number, because 10329097729 - 23 = 10329097721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10329097721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5164548864 + 5164548865.

It is an arithmetic number, because the mean of its divisors is an integer number (5164548865).

Almost surely, 210329097729 is an apocalyptic number.

It is an amenable number.

10329097729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10329097729 is an equidigital number, since it uses as much as digits as its factorization.

10329097729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 428652, while the sum is 49.

The spelling of 10329097729 in words is "ten billion, three hundred twenty-nine million, ninety-seven thousand, seven hundred twenty-nine".