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30354566441 is a prime number
BaseRepresentation
bin11100010001010001…
…011110110100101001
32220100110110202002112
4130101101132310221
5444131232111231
621540015412105
72123133362153
oct342121366451
986313422075
1030354566441
11119673a8051
125a71824035
132b29989924
14167d583ad3
15bc9d1592b
hex71145ed29

30354566441 has 2 divisors, whose sum is σ = 30354566442. Its totient is φ = 30354566440.

The previous prime is 30354566401. The next prime is 30354566471. The reversal of 30354566441 is 14466545303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29688668416 + 665898025 = 172304^2 + 25805^2 .

It is a cyclic number.

It is not a de Polignac number, because 30354566441 - 26 = 30354566377 is a prime.

It is not a weakly prime, because it can be changed into another prime (30354566401) 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, 15177283220 + 15177283221.

It is an arithmetic number, because the mean of its divisors is an integer number (15177283221).

Almost surely, 230354566441 is an apocalyptic number.

It is an amenable number.

30354566441 is a deficient number, since it is larger than the sum of its proper divisors (1).

30354566441 is an equidigital number, since it uses as much as digits as its factorization.

30354566441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 30354566441 in words is "thirty billion, three hundred fifty-four million, five hundred sixty-six thousand, four hundred forty-one".