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331121332210993 is a prime number
BaseRepresentation
bin100101101001001110011000…
…1011000100100110100110001
31121102101220000222000201020121
41023102130301120210310301
5321400042442021222433
63132123012352210241
7126513504201535642
oct11322346130446461
91542356028021217
10331121332210993
119656184a799405
1231179648239981
131129b7b8ccc38c
145baa5024796c9
15284335bca8c2d
hex12d2731624d31

331121332210993 has 2 divisors, whose sum is σ = 331121332210994. Its totient is φ = 331121332210992.

The previous prime is 331121332210979. The next prime is 331121332211011. The reversal of 331121332210993 is 399012233121133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287343418756849 + 43777913454144 = 16951207^2 + 6616488^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331121332210993 is a prime.

It is not a weakly prime, because it can be changed into another prime (331121332210093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560666105496 + 165560666105497.

It is an arithmetic number, because the mean of its divisors is an integer number (165560666105497).

Almost surely, 2331121332210993 is an apocalyptic number.

It is an amenable number.

331121332210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121332210993 is an equidigital number, since it uses as much as digits as its factorization.

331121332210993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157464, while the sum is 43.

The spelling of 331121332210993 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred ten thousand, nine hundred ninety-three".