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30431414129 is a prime number
BaseRepresentation
bin11100010101110110…
…101000011101110001
32220112211002000022012
4130111312220131301
5444310420223004
621551402452305
72125055515664
oct342566503561
986484060265
1030431414129
11119a6815936
125a93504095
132b3c88522c
1416898696db
15bd194546e
hex715da8771

30431414129 has 2 divisors, whose sum is σ = 30431414130. Its totient is φ = 30431414128.

The previous prime is 30431414099. The next prime is 30431414131. The reversal of 30431414129 is 92141413403.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24367210000 + 6064204129 = 156100^2 + 77873^2 .

It is a cyclic number.

It is not a de Polignac number, because 30431414129 - 228 = 30162978673 is a prime.

Together with 30431414131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 30431414095 and 30431414104.

It is not a weakly prime, because it can be changed into another prime (30431414729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15215707064 + 15215707065.

It is an arithmetic number, because the mean of its divisors is an integer number (15215707065).

Almost surely, 230431414129 is an apocalyptic number.

It is an amenable number.

30431414129 is a deficient number, since it is larger than the sum of its proper divisors (1).

30431414129 is an equidigital number, since it uses as much as digits as its factorization.

30431414129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 30431414129 in words is "thirty billion, four hundred thirty-one million, four hundred fourteen thousand, one hundred twenty-nine".