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444304312121123 is a prime number
BaseRepresentation
bin110010100000101111010100…
…0101100100011011100100011
32011021011002002102211022021022
41211001132220230203130203
5431213440212400333443
64212542325550120055
7162404633021243426
oct14501365054433443
92137132072738238
10444304312121123
11119629445225aa3
12419b919b1b002b
13160bb941c141ac
147ba062cb659bd
153657594d3ee68
hex19417a8b23723

444304312121123 has 2 divisors, whose sum is σ = 444304312121124. Its totient is φ = 444304312121122.

The previous prime is 444304312121101. The next prime is 444304312121147. The reversal of 444304312121123 is 321121213403444.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 444304312121123 - 210 = 444304312120099 is a prime.

It is a super-2 number, since 2×4443043121211232 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (444304312121183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222152156060561 + 222152156060562.

It is an arithmetic number, because the mean of its divisors is an integer number (222152156060562).

Almost surely, 2444304312121123 is an apocalyptic number.

444304312121123 is a deficient number, since it is larger than the sum of its proper divisors (1).

444304312121123 is an equidigital number, since it uses as much as digits as its factorization.

444304312121123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 444304312121123 its reverse (321121213403444), we get a palindrome (765425525524567).

The spelling of 444304312121123 in words is "four hundred forty-four trillion, three hundred four billion, three hundred twelve million, one hundred twenty-one thousand, one hundred twenty-three".