Search a number
-
+
30221874961 is a prime number
BaseRepresentation
bin11100001001010111…
…010011011100010001
32220000012210022121021
4130021113103130101
5443343244444321
621514515355441
72116632461425
oct341127233421
986005708537
1030221874961
11118a9507a73
125a352b2b81
132b0833b065
141669ac2b85
15bbd354941
hex7095d3711

30221874961 has 2 divisors, whose sum is σ = 30221874962. Its totient is φ = 30221874960.

The previous prime is 30221874959. The next prime is 30221875003. The reversal of 30221874961 is 16947812203.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29076729361 + 1145145600 = 170519^2 + 33840^2 .

It is a cyclic number.

It is not a de Polignac number, because 30221874961 - 21 = 30221874959 is a prime.

Together with 30221874959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (30221874901) 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, 15110937480 + 15110937481.

It is an arithmetic number, because the mean of its divisors is an integer number (15110937481).

Almost surely, 230221874961 is an apocalyptic number.

It is an amenable number.

30221874961 is a deficient number, since it is larger than the sum of its proper divisors (1).

30221874961 is an equidigital number, since it uses as much as digits as its factorization.

30221874961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 30221874961 in words is "thirty billion, two hundred twenty-one million, eight hundred seventy-four thousand, nine hundred sixty-one".