Search a number
-
+
12130314201 = 321347812689
BaseRepresentation
bin10110100110000010…
…11110011111011001
31011022101022210211100
423103001132133121
5144320330023301
65323402422013
7606412653345
oct132301363731
934271283740
1012130314201
115165278665
122426501909
1311b4160315
14831060625
154aee12286
hex2d305e7d9

12130314201 has 6 divisors (see below), whose sum is σ = 17521564970. Its totient is φ = 8086876128.

The previous prime is 12130314187. The next prime is 12130314239. The reversal of 12130314201 is 10241303121.

12130314201 is a `hidden beast` number, since 1 + 213 + 0 + 31 + 420 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11885360400 + 244953801 = 109020^2 + 15651^2 .

It is not a de Polignac number, because 12130314201 - 27 = 12130314073 is a prime.

It is a super-2 number, since 2×121303142012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12130314281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 673906336 + ... + 673906353.

Almost surely, 212130314201 is an apocalyptic number.

It is an amenable number.

12130314201 is a deficient number, since it is larger than the sum of its proper divisors (5391250769).

12130314201 is a wasteful number, since it uses less digits than its factorization.

12130314201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347812695 (or 1347812692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12130314201 its reverse (10241303121), we get a palindrome (22371617322).

The spelling of 12130314201 in words is "twelve billion, one hundred thirty million, three hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 1347812689 4043438067 12130314201