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12130313331 = 317475060623
BaseRepresentation
bin10110100110000010…
…11110010001110011
31011022101022202122010
423103001132101303
5144320330011311
65323402414003
7606412650663
oct132301362163
934271282563
1012130313331
115165277a44
122426501303
1311b415cac6
148310601a3
154aee11da6
hex2d305e473

12130313331 has 16 divisors (see below), whose sum is σ = 17489516544. Its totient is φ = 7449235584.

The previous prime is 12130313309. The next prime is 12130313357. The reversal of 12130313331 is 13331303121.

12130313331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12130313331 - 26 = 12130313267 is a prime.

It is a super-2 number, since 2×121303133312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12130313298 and 12130313307.

It is not an unprimeable number, because it can be changed into a prime (12130313381) 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 15 ways as a sum of consecutive naturals, for example, 2527915 + ... + 2532708.

It is an arithmetic number, because the mean of its divisors is an integer number (1093094784).

Almost surely, 212130313331 is an apocalyptic number.

12130313331 is a deficient number, since it is larger than the sum of its proper divisors (5359203213).

12130313331 is a wasteful number, since it uses less digits than its factorization.

12130313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060690.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12130313331 its reverse (13331303121), we get a palindrome (25461616452).

The spelling of 12130313331 in words is "twelve billion, one hundred thirty million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 17 47 51 141 799 2397 5060623 15181869 86030591 237849281 258091773 713547843 4043437777 12130313331