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331302201131933 is a prime number
BaseRepresentation
bin100101101010100010100111…
…0000000110000001110011101
31121110001011220000210212221022
41023111011032000300032131
5321411023401442210213
63132342044033013525
7126532536251153153
oct11325051600601635
91543034800725838
10331302201131933
1196621524565769
12311a87049b42a5
13112b2881978115
145bb517d8213d3
152847de5900308
hex12d514e03039d

331302201131933 has 2 divisors, whose sum is σ = 331302201131934. Its totient is φ = 331302201131932.

The previous prime is 331302201131911. The next prime is 331302201131953. The reversal of 331302201131933 is 339131102203133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169657345966564 + 161644855165369 = 13025258^2 + 12713963^2 .

It is a cyclic number.

It is not a de Polignac number, because 331302201131933 - 224 = 331302184354717 is a prime.

It is a super-2 number, since 2×3313022011319332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331302201131893 and 331302201131902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331302201131903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165651100565966 + 165651100565967.

It is an arithmetic number, because the mean of its divisors is an integer number (165651100565967).

Almost surely, 2331302201131933 is an apocalyptic number.

It is an amenable number.

331302201131933 is a deficient number, since it is larger than the sum of its proper divisors (1).

331302201131933 is an equidigital number, since it uses as much as digits as its factorization.

331302201131933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 35.

The spelling of 331302201131933 in words is "three hundred thirty-one trillion, three hundred two billion, two hundred one million, one hundred thirty-one thousand, nine hundred thirty-three".