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30146811329 is a prime number
BaseRepresentation
bin11100000100111000…
…111101010111000001
32212210222112200122202
4130010320331113001
5443220040430304
621503234442545
72115031445135
oct340470752701
985728480582
1030146811329
11118700a8608
125a14133455
132ac59187cb
14165db433c5
15bb697881e
hex704e3d5c1

30146811329 has 2 divisors, whose sum is σ = 30146811330. Its totient is φ = 30146811328.

The previous prime is 30146811323. The next prime is 30146811341. The reversal of 30146811329 is 92311864103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22891690000 + 7255121329 = 151300^2 + 85177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30146811329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30146811292 and 30146811301.

It is not a weakly prime, because it can be changed into another prime (30146811323) 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, 15073405664 + 15073405665.

It is an arithmetic number, because the mean of its divisors is an integer number (15073405665).

Almost surely, 230146811329 is an apocalyptic number.

It is an amenable number.

30146811329 is a deficient number, since it is larger than the sum of its proper divisors (1).

30146811329 is an equidigital number, since it uses as much as digits as its factorization.

30146811329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 30146811329 in words is "thirty billion, one hundred forty-six million, eight hundred eleven thousand, three hundred twenty-nine".