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13001312331 = 327983209939
BaseRepresentation
bin11000001101111000…
…00100100001001011
31020120002021002122100
430012330010201023
5203111313443311
65550035124443
7640120221450
oct140674044113
936502232570
1013001312331
1155719a1427
12262a143723
1312c2741127
148b49cb827
15511610a56
hex306f0484b

13001312331 has 24 divisors (see below), whose sum is σ = 21484419840. Its totient is φ = 7421728176.

The previous prime is 13001312249. The next prime is 13001312333. The reversal of 13001312331 is 13321310031.

It is a happy number.

13001312331 is a `hidden beast` number, since 1 + 300 + 1 + 31 + 2 + 331 = 666.

It is not a de Polignac number, because 13001312331 - 210 = 13001311307 is a prime.

It is a super-2 number, since 2×130013123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13001312333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43041 + ... + 166898.

It is an arithmetic number, because the mean of its divisors is an integer number (895184160).

Almost surely, 213001312331 is an apocalyptic number.

13001312331 is a deficient number, since it is larger than the sum of its proper divisors (8483107509).

13001312331 is a wasteful number, since it uses less digits than its factorization.

13001312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210935 (or 210932 counting only the distinct ones).

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

Adding to 13001312331 its reverse (13321310031), we get a palindrome (26322622362).

The spelling of 13001312331 in words is "thirteen billion, one million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 983 2949 6881 8847 20643 61929 209939 629817 1469573 1889451 4408719 13226157 206370037 619110111 1444590259 1857330333 4333770777 13001312331