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12153361410 = 2325135037349
BaseRepresentation
bin10110101000110010…
…11001010000000010
31011100222200201122200
423110121121100002
5144342230031120
65325544414030
7610112603361
oct132431312002
934328621580
1012153361410
11517728a343
122432177316
1311b8b6c718
1483413d7d8
154b1e65e90
hex2d4659402

12153361410 has 24 divisors (see below), whose sum is σ = 31598739900. Its totient is φ = 3240896352.

The previous prime is 12153361361. The next prime is 12153361439. The reversal of 12153361410 is 1416335121.

It is a happy number.

12153361410 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 33 + 614 + 10 = 666.

12153361410 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12147787089 + 5574321 = 110217^2 + 2361^2 .

It is a Curzon number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67518585 + ... + 67518764.

Almost surely, 212153361410 is an apocalyptic number.

12153361410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12153361410 is an abundant number, since it is smaller than the sum of its proper divisors (19445378490).

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

12153361410 is a wasteful number, since it uses less digits than its factorization.

12153361410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135037362 (or 135037359 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12153361410 its reverse (1416335121), we get a palindrome (13569696531).

The spelling of 12153361410 in words is "twelve billion, one hundred fifty-three million, three hundred sixty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 135037349 270074698 405112047 675186745 810224094 1215336141 1350373490 2025560235 2430672282 4051120470 6076680705 12153361410