Search a number
-
+
331133023 = 13213114957
BaseRepresentation
bin10011101111001…
…011000001011111
3212002002022010001
4103233023001133
51134232224043
652505155131
711130404254
oct2357130137
9762068101
10331133023
1115aa09161
1292a8baa7
13537ab700
1431d9942b
151e10d74d
hex13bcb05f

331133023 has 12 divisors (see below), whose sum is σ = 361325448. Its totient is φ = 303307680.

The previous prime is 331132993. The next prime is 331133027. The reversal of 331133023 is 320331133.

It is a de Polignac number, because none of the positive numbers 2k-331133023 is a prime.

It is a super-2 number, since 2×3311330232 = 219298157842237058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331133027) 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 in 11 ways as a sum of consecutive naturals, for example, 14661 + ... + 29617.

It is an arithmetic number, because the mean of its divisors is an integer number (30110454).

Almost surely, 2331133023 is an apocalyptic number.

331133023 is a deficient number, since it is larger than the sum of its proper divisors (30192425).

331133023 is a wasteful number, since it uses less digits than its factorization.

331133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114 (or 15101 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 331133023 is about 18197.0608341018. The cubic root of 331133023 is about 691.8322951941.

Adding to 331133023 its reverse (320331133), we get a palindrome (651464156).

The spelling of 331133023 in words is "three hundred thirty-one million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 13 131 169 1703 14957 22139 194441 1959367 2527733 25471771 331133023