Base | Representation |
---|---|
bin | 111011101011101… |
… | …100110000111010 |
3 | 2120210010212212100 |
4 | 323223230300322 |
5 | 4022313430130 |
6 | 243205324230 |
7 | 33546001620 |
oct | 7353546072 |
9 | 2523125770 |
10 | 1001311290 |
11 | 474239aa1 |
12 | 23b406676 |
13 | 12c5a8cb5 |
14 | 96dad510 |
15 | 5cd8ec60 |
hex | 3baecc3a |
1001311290 has 96 divisors (see below), whose sum is σ = 2995574400. Its totient is φ = 227313792.
The previous prime is 1001311277. The next prime is 1001311291. The reversal of 1001311290 is 921131001.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1001311291) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88537 + ... + 99203.
It is an arithmetic number, because the mean of its divisors is an integer number (31203900).
Almost surely, 21001311290 is an apocalyptic number.
1001311290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001311290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497787200).
1001311290 is an abundant number, since it is smaller than the sum of its proper divisors (1994263110).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001311290 is a wasteful number, since it uses less digits than its factorization.
1001311290 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10836 (or 10833 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 18.
The square root of 1001311290 is about 31643.5031246542. The cubic root of 1001311290 is about 1000.4369057522.
Adding to 1001311290 its reverse (921131001), we get a palindrome (1922442291).
It can be divided in two parts, 100 and 1311290, that added together give a triangular number (1311390 = T1619).
The spelling of 1001311290 in words is "one billion, one million, three hundred eleven thousand, two hundred ninety".
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