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305114129 is a prime number
BaseRepresentation
bin10010001011111…
…010110000010001
3210021010101220022
4102023322300101
51111102123004
650135353225
710363266365
oct2213726021
9707111808
10305114129
11147257841
1286222815
134b29b808
142c7452a5
151bbbe2be
hex122fac11

305114129 has 2 divisors, whose sum is σ = 305114130. Its totient is φ = 305114128.

The previous prime is 305114107. The next prime is 305114137. The reversal of 305114129 is 921411503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294191104 + 10923025 = 17152^2 + 3305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-305114129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 305114098 and 305114107.

It is not a weakly prime, because it can be changed into another prime (305114729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152557064 + 152557065.

It is an arithmetic number, because the mean of its divisors is an integer number (152557065).

Almost surely, 2305114129 is an apocalyptic number.

It is an amenable number.

305114129 is a deficient number, since it is larger than the sum of its proper divisors (1).

305114129 is an equidigital number, since it uses as much as digits as its factorization.

305114129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 305114129 is about 17467.5163947254. The cubic root of 305114129 is about 673.2154997269.

The spelling of 305114129 in words is "three hundred five million, one hundred fourteen thousand, one hundred twenty-nine".