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12342133141 = 137315782837
BaseRepresentation
bin10110111111010011…
…00000000110010101
31011212010220022210021
423133221200012111
5200234041230031
65400410425141
7614564254312
oct133751400625
934763808707
1012342133141
1152638a3338
1224854321b1
131218cc5080
1485123bd09
154c3803511
hex2dfa60195

12342133141 has 16 divisors (see below), whose sum is σ = 13559586544. Its totient is φ = 11164967424.

The previous prime is 12342133091. The next prime is 12342133147. The reversal of 12342133141 is 14133124321.

12342133141 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 8 ways, for example, as 4501739025 + 7840394116 = 67095^2 + 88546^2 .

It is a de Polignac number, because none of the positive numbers 2k-12342133141 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 (12342133147) 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 15 ways as a sum of consecutive naturals, for example, 107575 + ... + 190411.

It is an arithmetic number, because the mean of its divisors is an integer number (847474159).

Almost surely, 212342133141 is an apocalyptic number.

It is an amenable number.

12342133141 is a deficient number, since it is larger than the sum of its proper divisors (1217453403).

12342133141 is a wasteful number, since it uses less digits than its factorization.

12342133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83080.

The product of its digits is 1728, while the sum is 25.

Adding to 12342133141 its reverse (14133124321), we get a palindrome (26475257462).

The spelling of 12342133141 in words is "twelve billion, three hundred forty-two million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 13 73 157 949 2041 11461 82837 148993 1076881 6047101 13005409 78612313 169070317 949394857 12342133141