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331114444411133 is a prime number
BaseRepresentation
bin100101101001001011001011…
…0110101101101000011111101
31121102101020020221102020010002
41023102112112311231003331
5321344434340232124013
63132115513102524045
7126513141414313535
oct11322262665550375
91542336227366102
10331114444411133
1196559935809429
1231178245596625
131129ac5c01c066
145baa04b7a84c5
1528430a7254358
hex12d2596d6d0fd

331114444411133 has 2 divisors, whose sum is σ = 331114444411134. Its totient is φ = 331114444411132.

The previous prime is 331114444411129. The next prime is 331114444411183.

331114444411133 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215027675647684 + 116086768763449 = 14663822^2 + 10774357^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 331114444411133 - 22 = 331114444411129 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331114444411183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165557222205566 + 165557222205567.

It is an arithmetic number, because the mean of its divisors is an integer number (165557222205567).

Almost surely, 2331114444411133 is an apocalyptic number.

It is an amenable number.

331114444411133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331114444411133 is an equidigital number, since it uses as much as digits as its factorization.

331114444411133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 38.

The spelling of 331114444411133 in words is "three hundred thirty-one trillion, one hundred fourteen billion, four hundred forty-four million, four hundred eleven thousand, one hundred thirty-three".