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12242142133 = 131138333657
BaseRepresentation
bin10110110011011000…
…00100001110110101
31011121011202020220121
423121230010032311
5200032442022013
65342435331541
7612241330324
oct133154041665
934534666817
1012242142133
115212408641
122457a50bb1
1312013856b0
14841c500bb
154b9b5158d
hex2d9b043b5

12242142133 has 8 divisors (see below), whose sum is σ = 13300518168. Its totient is φ = 11200433664.

The previous prime is 12242142109. The next prime is 12242142161. The reversal of 12242142133 is 33124124221.

12242142133 is digitally balanced in base 2, 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 4 ways, for example, as 224940004 + 12017202129 = 14998^2 + 109623^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12242142133 - 225 = 12208587701 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12242142098 and 12242142107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242142103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4165360 + ... + 4168297.

It is an arithmetic number, because the mean of its divisors is an integer number (1662564771).

Almost surely, 212242142133 is an apocalyptic number.

12242142133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12242142133 is a deficient number, since it is larger than the sum of its proper divisors (1058376035).

12242142133 is a wasteful number, since it uses less digits than its factorization.

12242142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333783.

The product of its digits is 2304, while the sum is 25.

Adding to 12242142133 its reverse (33124124221), we get a palindrome (45366266354).

The spelling of 12242142133 in words is "twelve billion, two hundred forty-two million, one hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 13 113 1469 8333657 108337541 941703241 12242142133