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331402444204133 is a prime number
BaseRepresentation
bin100101101011010001010010…
…0111101101110100001100101
31121110101202122010211120120002
41023112202210331232201211
5321414144201204013013
63132500103041551045
7126543015336211031
oct11326424475564145
91543352563746502
10331402444204133
119665aa95122585
1231204020045485
13112bc168942b63
145bb9d6cc771c1
15284a811151358
hex12d68a4f6e865

331402444204133 has 2 divisors, whose sum is σ = 331402444204134. Its totient is φ = 331402444204132.

The previous prime is 331402444204081. The next prime is 331402444204151.

331402444204133 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328739796979489 + 2662647224644 = 18131183^2 + 1631762^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 331402444204133 - 220 = 331402443155557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331402444203133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165701222102066 + 165701222102067.

It is an arithmetic number, because the mean of its divisors is an integer number (165701222102067).

Almost surely, 2331402444204133 is an apocalyptic number.

It is an amenable number.

331402444204133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331402444204133 is an equidigital number, since it uses as much as digits as its factorization.

331402444204133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 331402444204133 in words is "three hundred thirty-one trillion, four hundred two billion, four hundred forty-four million, two hundred four thousand, one hundred thirty-three".