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12130312311 = 3213172358747
BaseRepresentation
bin10110100110000010…
…11110000001110111
31011022101022201020100
423103001132001313
5144320324443221
65323402405143
7606412645005
oct132301360167
934271281210
1012130312311
1151652771a7
1224265007b3
1311b415c4c0
1483105da75
154aee11926
hex2d305e077

12130312311 has 36 divisors (see below), whose sum is σ = 20044685752. Its totient is φ = 7025681664.

The previous prime is 12130312261. The next prime is 12130312331. The reversal of 12130312311 is 11321303121.

12130312311 is a `hidden beast` number, since 12 + 1 + 30 + 312 + 311 = 666.

12130312311 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 12130312311 - 26 = 12130312247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130312331) 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 35 ways as a sum of consecutive naturals, for example, 145561 + ... + 213186.

Almost surely, 212130312311 is an apocalyptic number.

12130312311 is a deficient number, since it is larger than the sum of its proper divisors (7914373441).

12130312311 is a wasteful number, since it uses less digits than its factorization.

12130312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358800 (or 358780 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12130312311 its reverse (11321303121), we get a palindrome (23451615432).

The spelling of 12130312311 in words is "twelve billion, one hundred thirty million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 13 17 39 51 117 153 221 289 663 867 1989 2601 3757 11271 33813 358747 1076241 3228723 4663711 6098699 13991133 18296097 41973399 54888291 79283087 103677883 237849261 311033649 713547783 933100947 1347812479 4043437437 12130312311