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331121100197 is a prime number
BaseRepresentation
bin1001101000110000101…
…10110000010110100101
31011122200101202201110202
410310120112300112211
520411114000201242
6412040454200245
732631326625026
oct4643026602645
91148611681422
10331121100197
11118478257518
125420b953085
13252bc5517b4
141205241cc4d
15892e93a932
hex4d185b05a5

331121100197 has 2 divisors, whose sum is σ = 331121100198. Its totient is φ = 331121100196.

The previous prime is 331121100181. The next prime is 331121100223. The reversal of 331121100197 is 791001121133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 283960028641 + 47161071556 = 532879^2 + 217166^2 .

It is a cyclic number.

It is not a de Polignac number, because 331121100197 - 24 = 331121100181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331121103197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560550098 + 165560550099.

It is an arithmetic number, because the mean of its divisors is an integer number (165560550099).

Almost surely, 2331121100197 is an apocalyptic number.

It is an amenable number.

331121100197 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121100197 is an equidigital number, since it uses as much as digits as its factorization.

331121100197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 29.

The spelling of 331121100197 in words is "three hundred thirty-one billion, one hundred twenty-one million, one hundred thousand, one hundred ninety-seven".