Base | Representation |
---|---|
bin | 11000011110101010… |
… | …10000001011100111 |
3 | 1020220220020110010120 |
4 | 30033111100023213 |
5 | 203403341201211 |
6 | 10012025253023 |
7 | 643450162662 |
oct | 141725201347 |
9 | 36826213116 |
10 | 13142131431 |
11 | 5634432950 |
12 | 2669334173 |
13 | 1315977240 |
14 | 8c95a66d9 |
15 | 51db79d06 |
hex | 30f5502e7 |
13142131431 has 64 divisors (see below), whose sum is σ = 21171386880. Its totient is φ = 7144704000.
The previous prime is 13142131423. The next prime is 13142131447. The reversal of 13142131431 is 13413124131.
It is a happy number.
13142131431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 13142131431 - 23 = 13142131423 is a prime.
It is a super-2 number, since 2×131421314312 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13142131411) 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 63 ways as a sum of consecutive naturals, for example, 4941180 + ... + 4943838.
It is an arithmetic number, because the mean of its divisors is an integer number (330802920).
Almost surely, 213142131431 is an apocalyptic number.
13142131431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
13142131431 is a deficient number, since it is larger than the sum of its proper divisors (8029255449).
13142131431 is a wasteful number, since it uses less digits than its factorization.
13142131431 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3008.
The product of its digits is 864, while the sum is 24.
Adding to 13142131431 its reverse (13413124131), we get a palindrome (26555255562).
The spelling of 13142131431 in words is "thirteen billion, one hundred forty-two million, one hundred thirty-one thousand, four hundred thirty-one".
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