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12243135400 = 235261215677
BaseRepresentation
bin10110110011011111…
…10110101110101000
31011121020121201102021
423121233312232220
5200033220313100
65342512514224
7612252635206
oct133157665650
934536551367
1012243135400
115212a26921
12245824b974
131201642822
1484202c076
154b9c9aa1a
hex2d9bf6ba8

12243135400 has 24 divisors (see below), whose sum is σ = 28465290270. Its totient is φ = 4897254080.

The previous prime is 12243135389. The next prime is 12243135409. The reversal of 12243135400 is 453134221.

It can be written as a sum of positive squares in 3 ways, for example, as 7863078276 + 4380057124 = 88674^2 + 66182^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12243135409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30607639 + ... + 30608038.

Almost surely, 212243135400 is an apocalyptic number.

12243135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243135400 is an abundant number, since it is smaller than the sum of its proper divisors (16222154870).

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

12243135400 is a wasteful number, since it uses less digits than its factorization.

12243135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61215693 (or 61215684 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 12243135400 its reverse (453134221), we get a palindrome (12696269621).

The spelling of 12243135400 in words is "twelve billion, two hundred forty-three million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61215677 122431354 244862708 306078385 489725416 612156770 1224313540 1530391925 2448627080 3060783850 6121567700 12243135400