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12432344130 = 23651705397
BaseRepresentation
bin10111001010000011…
…01000010001000010
31012002102122112000000
423211001220101002
5200430140003010
65413352140430
7620041116153
oct134501502102
935072575000
1012432344130
1152aa809178
1224ab697716
1312318bc05b
1485d20192a
154cb6c27c0
hex2e5068442

12432344130 has 56 divisors (see below), whose sum is σ = 33552000252. Its totient is φ = 3315289824.

The previous prime is 12432344117. The next prime is 12432344131. The reversal of 12432344130 is 3144323421.

12432344130 is a `hidden beast` number, since 1 + 243 + 2 + 3 + 4 + 413 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12428459289 + 3884841 = 111483^2 + 1971^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12432344094 and 12432344103.

It is not an unprimeable number, because it can be changed into a prime (12432344131) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 845409 + ... + 859988.

Almost surely, 212432344130 is an apocalyptic number.

12432344130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12432344130 is an abundant number, since it is smaller than the sum of its proper divisors (21119656122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12432344130 is an equidigital number, since it uses as much as digits as its factorization.

12432344130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705422 (or 1705407 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12432344130 its reverse (3144323421), we get a palindrome (15576667551).

The spelling of 12432344130 in words is "twelve billion, four hundred thirty-two million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 1705397 3410794 5116191 8526985 10232382 15348573 17053970 25580955 30697146 46045719 51161910 76742865 92091438 138137157 153485730 230228595 276274314 414411471 460457190 690685785 828822942 1243234413 1381371570 2072057355 2486468826 4144114710 6216172065 12432344130