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331211313 = 32100936473
BaseRepresentation
bin10011101111011…
…110001000110001
3212002020021111200
4103233132020301
51134242230223
652511001413
711131151436
oct2357361061
9762207450
10331211313
1115aa61a64
1292b09269
1353808234
1431db9b8d
151e126a43
hex13bde231

331211313 has 12 divisors (see below), whose sum is σ = 478903620. Its totient is φ = 220582656.

The previous prime is 331211299. The next prime is 331211329. The reversal of 331211313 is 313112133.

It is a happy number.

331211313 is a `hidden beast` number, since 331 + 21 + 1 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114768369 + 216442944 = 10713^2 + 14712^2 .

It is not a de Polignac number, because 331211313 - 24 = 331211297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331211333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9156 + ... + 27317.

It is an arithmetic number, because the mean of its divisors is an integer number (39908635).

Almost surely, 2331211313 is an apocalyptic number.

It is an amenable number.

331211313 is a deficient number, since it is larger than the sum of its proper divisors (147692307).

331211313 is a wasteful number, since it uses less digits than its factorization.

331211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37488 (or 37485 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 331211313 is about 18199.2118785402. The cubic root of 331211313 is about 691.8868143536.

Adding to 331211313 its reverse (313112133), we get a palindrome (644323446).

It can be divided in two parts, 33 and 1211313, that added together give a triangular number (1211346 = T1556).

The spelling of 331211313 in words is "three hundred thirty-one million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 1009 3027 9081 36473 109419 328257 36801257 110403771 331211313