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13002331 = 175314431
BaseRepresentation
bin110001100110…
…011001011011
3220110120211211
4301212121123
511312033311
61142403551
7215342446
oct61463133
926416754
1013002331
117380931
1244305b7
1329032b4
141a2665d
15121c821
hexc6665b

13002331 has 8 divisors (see below), whose sum is σ = 14027904. Its totient is φ = 12005760.

The previous prime is 13002323. The next prime is 13002377. The reversal of 13002331 is 13320031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13002331 - 23 = 13002323 is a prime.

It is a super-2 number, since 2×130023312 = 338121222867122, which contains 22 as substring.

It is a Duffinian number.

13002331 is a modest number, since divided by 2331 gives 13 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13002131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6315 + ... + 8116.

It is an arithmetic number, because the mean of its divisors is an integer number (1753488).

Almost surely, 213002331 is an apocalyptic number.

13002331 is a deficient number, since it is larger than the sum of its proper divisors (1025573).

13002331 is a wasteful number, since it uses less digits than its factorization.

13002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13002331 is about 3605.8745125143. The cubic root of 13002331 is about 235.1475216787.

Adding to 13002331 its reverse (13320031), we get a palindrome (26322362).

The spelling of 13002331 in words is "thirteen million, two thousand, three hundred thirty-one".

Divisors: 1 17 53 901 14431 245327 764843 13002331