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413132329 is a prime number
BaseRepresentation
bin11000100111111…
…110011000101001
31001210101022000101
4120213332120221
51321230213304
6104554505401
713144365301
oct3047763051
91053338011
10413132329
111a2225485
12b6435261
136778bacc
143cc22601
15264098a4
hex189fe629

413132329 has 2 divisors, whose sum is σ = 413132330. Its totient is φ = 413132328.

The previous prime is 413132323. The next prime is 413132353. The reversal of 413132329 is 923231314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 376554025 + 36578304 = 19405^2 + 6048^2 .

It is a cyclic number.

It is not a de Polignac number, because 413132329 - 219 = 412608041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413132297 and 413132306.

It is not a weakly prime, because it can be changed into another prime (413132323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206566164 + 206566165.

It is an arithmetic number, because the mean of its divisors is an integer number (206566165).

Almost surely, 2413132329 is an apocalyptic number.

It is an amenable number.

413132329 is a deficient number, since it is larger than the sum of its proper divisors (1).

413132329 is an equidigital number, since it uses as much as digits as its factorization.

413132329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 28.

The square root of 413132329 is about 20325.6569143533. The cubic root of 413132329 is about 744.7829519509.

The spelling of 413132329 in words is "four hundred thirteen million, one hundred thirty-two thousand, three hundred twenty-nine".