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221830232171833 is a prime number
BaseRepresentation
bin110010011100000011100000…
…001100000110010100111001
31002002102202121021211011221201
4302130003200030012110321
5213033431303413444313
62103443222442534201
764503463643166235
oct6234034014062471
91062382537734851
10221830232171833
1164755744a6014a
1220a68227b07361
1396a1668cbc88c
143cac8d78535c5
151a9a4a7b690dd
hexc9c0e0306539

221830232171833 has 2 divisors, whose sum is σ = 221830232171834. Its totient is φ = 221830232171832.

The previous prime is 221830232171831. The next prime is 221830232171851. The reversal of 221830232171833 is 338171232038122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213168088476729 + 8662143695104 = 14600277^2 + 2943152^2 .

It is a cyclic number.

It is not a de Polignac number, because 221830232171833 - 21 = 221830232171831 is a prime.

Together with 221830232171831, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221830232171831) 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, 110915116085916 + 110915116085917.

It is an arithmetic number, because the mean of its divisors is an integer number (110915116085917).

Almost surely, 2221830232171833 is an apocalyptic number.

It is an amenable number.

221830232171833 is a deficient number, since it is larger than the sum of its proper divisors (1).

221830232171833 is an equidigital number, since it uses as much as digits as its factorization.

221830232171833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 221830232171833 in words is "two hundred twenty-one trillion, eight hundred thirty billion, two hundred thirty-two million, one hundred seventy-one thousand, eight hundred thirty-three".