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30342400129 is a prime number
BaseRepresentation
bin11100010000100011…
…000100100010000001
32220022121120122001101
4130100203010202001
5444120123301004
621534502534401
72122625100646
oct342043044201
986277518041
1030342400129
1111960548348
125a69737401
132b272ba022
14167bad7dcd
15bc8c10ba4
hex7108c4881

30342400129 has 2 divisors, whose sum is σ = 30342400130. Its totient is φ = 30342400128.

The previous prime is 30342400117. The next prime is 30342400133. The reversal of 30342400129 is 92100424303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22755119104 + 7587281025 = 150848^2 + 87105^2 .

It is a cyclic number.

It is not a de Polignac number, because 30342400129 - 27 = 30342400001 is a prime.

It is a super-2 number, since 2×303424001292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30342400097 and 30342400106.

It is not a weakly prime, because it can be changed into another prime (30342400229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15171200064 + 15171200065.

It is an arithmetic number, because the mean of its divisors is an integer number (15171200065).

Almost surely, 230342400129 is an apocalyptic number.

It is an amenable number.

30342400129 is a deficient number, since it is larger than the sum of its proper divisors (1).

30342400129 is an equidigital number, since it uses as much as digits as its factorization.

30342400129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 30342400129 in words is "thirty billion, three hundred forty-two million, four hundred thousand, one hundred twenty-nine".