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331000109981 is a prime number
BaseRepresentation
bin1001101000100010010…
…01001101101110011101
31011122100222002210002122
410310101021031232131
520410342012004411
6412020453032325
732625330340622
oct4642111155635
91148328083078
10331000109981
11118415a29802
12541973256a5
13252a046bc58
1412040326349
158923edb9db
hex4d1124db9d

331000109981 has 2 divisors, whose sum is σ = 331000109982. Its totient is φ = 331000109980.

The previous prime is 331000109977. The next prime is 331000110031. The reversal of 331000109981 is 189901000133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330930970756 + 69139225 = 575266^2 + 8315^2 .

It is a cyclic number.

It is not a de Polignac number, because 331000109981 - 22 = 331000109977 is a prime.

It is a super-2 number, since 2×3310001099812 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331000109681) 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, 165500054990 + 165500054991.

It is an arithmetic number, because the mean of its divisors is an integer number (165500054991).

Almost surely, 2331000109981 is an apocalyptic number.

It is an amenable number.

331000109981 is a deficient number, since it is larger than the sum of its proper divisors (1).

331000109981 is an equidigital number, since it uses as much as digits as its factorization.

331000109981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 35.

The spelling of 331000109981 in words is "three hundred thirty-one billion, one hundred nine thousand, nine hundred eighty-one".