Search a number
-
+
12415314130 = 2553233100537
BaseRepresentation
bin10111001000000001…
…01010100011010010
31012001020121022020021
423210000222203102
5200411310023010
65411543134054
7616443300052
oct134400524322
935036538207
1012415314130
1152a113729a
1224a5a4432a
13122b20872b
1485ac4b562
154c9e5b8da
hex2e402a8d2

12415314130 has 32 divisors (see below), whose sum is σ = 22867167024. Its totient is φ = 4851465216.

The previous prime is 12415314101. The next prime is 12415314139. The reversal of 12415314130 is 3141351421.

It can be written as a sum of positive squares in 8 ways, for example, as 3978707929 + 8436606201 = 63077^2 + 91851^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12415314095 and 12415314104.

It is not an unprimeable number, because it can be changed into a prime (12415314139) 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 15 ways as a sum of consecutive naturals, for example, 73222 + ... + 173758.

Almost surely, 212415314130 is an apocalyptic number.

12415314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12415314130 is a deficient number, since it is larger than the sum of its proper divisors (10451852894).

12415314130 is a wasteful number, since it uses less digits than its factorization.

12415314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100830.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 12415314130 its reverse (3141351421), we get a palindrome (15556665551).

The spelling of 12415314130 in words is "twelve billion, four hundred fifteen million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 53 106 233 265 466 530 1165 2330 12349 24698 61745 100537 123490 201074 502685 1005370 5328461 10656922 23425121 26642305 46850242 53284610 117125605 234251210 1241531413 2483062826 6207657065 12415314130