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12135441341 = 19244974869
BaseRepresentation
bin10110100110101010…
…00010001110111101
31011022201222021221102
423103111002032331
5144323133110331
65324104342445
7606504356312
oct132325021675
934281867842
1012135441341
11516815a771
122428174a25
1311b5236c2a
148319d6d09
154b05c64cb
hex2d35423bd

12135441341 has 12 divisors (see below), whose sum is σ = 12836461500. Its totient is φ = 11470975488.

The previous prime is 12135441301. The next prime is 12135441349. The reversal of 12135441341 is 14314453121.

It can be written as a sum of positive squares in 2 ways, for example, as 5254075225 + 6881366116 = 72485^2 + 82954^2 .

It is not a de Polignac number, because 12135441341 - 26 = 12135441277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135441349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124655 + ... + 199523.

It is an arithmetic number, because the mean of its divisors is an integer number (1069705125).

Almost surely, 212135441341 is an apocalyptic number.

It is an amenable number.

12135441341 is a deficient number, since it is larger than the sum of its proper divisors (701020159).

12135441341 is an equidigital number, since it uses as much as digits as its factorization.

12135441341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75356 (or 75337 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

Adding to 12135441341 its reverse (14314453121), we get a palindrome (26449894462).

The spelling of 12135441341 in words is "twelve billion, one hundred thirty-five million, four hundred forty-one thousand, three hundred forty-one".

Divisors: 1 19 361 449 8531 74869 162089 1422511 27027709 33616181 638707439 12135441341