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331333133 is a prime number
BaseRepresentation
bin10011101111111…
…011111000001101
3212002110110121112
4103233323320031
51134310130013
652513341405
711132166545
oct2357737015
9762413545
10331333133
1116003553a
1292b67865
135384b811
143200c325
151e14cba8
hex13bfbe0d

331333133 has 2 divisors, whose sum is σ = 331333134. Its totient is φ = 331333132.

The previous prime is 331333129. The next prime is 331333139.

331333133 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202692169 + 128640964 = 14237^2 + 11342^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 331333133 - 22 = 331333129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331333099 and 331333108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331333139) 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, 165666566 + 165666567.

It is an arithmetic number, because the mean of its divisors is an integer number (165666567).

Almost surely, 2331333133 is an apocalyptic number.

It is an amenable number.

331333133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331333133 is an equidigital number, since it uses as much as digits as its factorization.

331333133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2187, while the sum is 23.

The square root of 331333133 is about 18202.5584190794. The cubic root of 331333133 is about 691.9716296131.

The spelling of 331333133 in words is "three hundred thirty-one million, three hundred thirty-three thousand, one hundred thirty-three".