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331133311981 is a prime number
BaseRepresentation
bin1001101000110010001…
…01010101101111101101
31011122201020202010220001
410310121011111233231
520411130111440411
6412042012024301
732631535465633
oct4643105255755
91148636663801
10331133311981
111184841383aa
1254213a62091
13252c1c38cc4
1412053cbb353
158930a4ddc1
hex4d19155bed

331133311981 has 2 divisors, whose sum is σ = 331133311982. Its totient is φ = 331133311980.

The previous prime is 331133311919. The next prime is 331133312039. The reversal of 331133311981 is 189113331133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275798277225 + 55335034756 = 525165^2 + 235234^2 .

It is a cyclic number.

It is not a de Polignac number, because 331133311981 - 213 = 331133303789 is a prime.

It is a super-2 number, since 2×3311333119812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331133311981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331133311181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566655990 + 165566655991.

It is an arithmetic number, because the mean of its divisors is an integer number (165566655991).

Almost surely, 2331133311981 is an apocalyptic number.

It is an amenable number.

331133311981 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133311981 is an equidigital number, since it uses as much as digits as its factorization.

331133311981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 37.

The spelling of 331133311981 in words is "three hundred thirty-one billion, one hundred thirty-three million, three hundred eleven thousand, nine hundred eighty-one".