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30279200417 is a prime number
BaseRepresentation
bin11100001100110001…
…111110111010100001
32220011012122202100022
4130030301332322201
5444002433403132
621524324203225
72121226646144
oct341461767241
986135582308
1030279200417
1111928901484
125a50539515
132b1718c84b
14167356605b
15bc33c9e12
hex70cc7eea1

30279200417 has 2 divisors, whose sum is σ = 30279200418. Its totient is φ = 30279200416.

The previous prime is 30279200401. The next prime is 30279200447. The reversal of 30279200417 is 71400297203.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22414880656 + 7864319761 = 149716^2 + 88681^2 .

It is a cyclic number.

It is not a de Polignac number, because 30279200417 - 24 = 30279200401 is a prime.

It is not a weakly prime, because it can be changed into another prime (30279200447) 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, 15139600208 + 15139600209.

It is an arithmetic number, because the mean of its divisors is an integer number (15139600209).

Almost surely, 230279200417 is an apocalyptic number.

It is an amenable number.

30279200417 is a deficient number, since it is larger than the sum of its proper divisors (1).

30279200417 is an equidigital number, since it uses as much as digits as its factorization.

30279200417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 30279200417 in words is "thirty billion, two hundred seventy-nine million, two hundred thousand, four hundred seventeen".