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461123129 is a prime number
BaseRepresentation
bin11011011111000…
…010111000111001
31012010200111000102
4123133002320321
51421021420004
6113431245145
714266324205
oct3337027071
91163614012
10461123129
112173236a5
1210a5197b5
13746c282c
1445355b05
152a73911e
hex1b7c2e39

461123129 has 2 divisors, whose sum is σ = 461123130. Its totient is φ = 461123128.

The previous prime is 461123123. The next prime is 461123149. The reversal of 461123129 is 921321164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251539600 + 209583529 = 15860^2 + 14477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-461123129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (461123123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230561564 + 230561565.

It is an arithmetic number, because the mean of its divisors is an integer number (230561565).

Almost surely, 2461123129 is an apocalyptic number.

It is an amenable number.

461123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

461123129 is an equidigital number, since it uses as much as digits as its factorization.

461123129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The square root of 461123129 is about 21473.7777067753. Note that the first 4 decimals coincide. The cubic root of 461123129 is about 772.5720081038.

The spelling of 461123129 in words is "four hundred sixty-one million, one hundred twenty-three thousand, one hundred twenty-nine".