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331412244133 is a prime number
BaseRepresentation
bin1001101001010011011…
…01011000011010100101
31011200102200121100212111
410310221231120122211
520412213013303013
6412125414321021
732641463411125
oct4645155303245
91150380540774
10331412244133
11118607632243
1254291359171
132533796b609
141207cd68c85
15894a29a73d
hex4d29b586a5

331412244133 has 2 divisors, whose sum is σ = 331412244134. Its totient is φ = 331412244132.

The previous prime is 331412244067. The next prime is 331412244157. The reversal of 331412244133 is 331442214133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323423102209 + 7989141924 = 568703^2 + 89382^2 .

It is an emirp because it is prime and its reverse (331442214133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331412244133 is a prime.

It is a super-2 number, since 2×3314122441332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331412244095 and 331412244104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331412244193) 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, 165706122066 + 165706122067.

It is an arithmetic number, because the mean of its divisors is an integer number (165706122067).

Almost surely, 2331412244133 is an apocalyptic number.

It is an amenable number.

331412244133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331412244133 is an equidigital number, since it uses as much as digits as its factorization.

331412244133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 31.

Adding to 331412244133 its reverse (331442214133), we get a palindrome (662854458266).

The spelling of 331412244133 in words is "three hundred thirty-one billion, four hundred twelve million, two hundred forty-four thousand, one hundred thirty-three".