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331213117 is a prime number
BaseRepresentation
bin10011101111011…
…110100100111101
3212002020100222111
4103233132210331
51134242304432
652511014021
711131156624
oct2357364475
9762210874
10331213117
1115aa63354
1292b0a311
1353808cc1
1431dba6bb
151e127347
hex13bde93d

331213117 has 2 divisors, whose sum is σ = 331213118. Its totient is φ = 331213116.

The previous prime is 331213097. The next prime is 331213139. The reversal of 331213117 is 711312133.

It is an a-pointer prime, because the next prime (331213139) can be obtained adding 331213117 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270076356 + 61136761 = 16434^2 + 7819^2 .

It is a cyclic number.

It is not a de Polignac number, because 331213117 - 219 = 330688829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331213217) 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, 165606558 + 165606559.

It is an arithmetic number, because the mean of its divisors is an integer number (165606559).

Almost surely, 2331213117 is an apocalyptic number.

It is an amenable number.

331213117 is a deficient number, since it is larger than the sum of its proper divisors (1).

331213117 is an equidigital number, since it uses as much as digits as its factorization.

331213117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 331213117 is about 18199.2614410585. The cubic root of 331213117 is about 691.8880705119. Note that the first 3 decimals are identical.

The spelling of 331213117 in words is "three hundred thirty-one million, two hundred thirteen thousand, one hundred seventeen".