Base | Representation |
---|---|
bin | 100111000110101… |
… | …1010111011001000 |
3 | 10101110000200001211 |
4 | 1032031122323020 |
5 | 10141402003000 |
6 | 334111422504 |
7 | 44342004652 |
oct | 11615327310 |
9 | 3343020054 |
10 | 1312141000 |
11 | 61373aa55 |
12 | 307524a34 |
13 | 17bac91c1 |
14 | c63a16d2 |
15 | 7a2dc7ba |
hex | 4e35aec8 |
1312141000 has 64 divisors (see below), whose sum is σ = 3099358080. Its totient is φ = 519908800.
The previous prime is 1312140983. The next prime is 1312141003. The reversal of 1312141000 is 1412131.
It is not an unprimeable number, because it can be changed into a prime (1312141003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100869 + ... + 113131.
It is an arithmetic number, because the mean of its divisors is an integer number (48427470).
Almost surely, 21312141000 is an apocalyptic number.
1312141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1312141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549679040).
1312141000 is an abundant number, since it is smaller than the sum of its proper divisors (1787217080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1312141000 is a wasteful number, since it uses less digits than its factorization.
1312141000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12391 (or 12377 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 1312141000 is about 36223.4868559061. The cubic root of 1312141000 is about 1094.7799506391.
Adding to 1312141000 its reverse (1412131), we get a palindrome (1313553131).
The spelling of 1312141000 in words is "one billion, three hundred twelve million, one hundred forty-one thousand".
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