Base | Representation |
---|---|
bin | 11110000111111001101… |
… | …01010111101010000000 |
3 | 10122221121022002000122121 |
4 | 33003330311113222000 |
5 | 113424222201000000 |
6 | 2111253230414024 |
7 | 134531051560510 |
oct | 17037465275200 |
9 | 3587538060577 |
10 | 1035034000000 |
11 | 369a56789700 |
12 | 14871a961314 |
13 | 767ac565060 |
14 | 3814b283840 |
15 | 1bdcc2b0b1a |
hex | f0fcd57a80 |
1035034000000 has 1344 divisors, whose sum is σ = 3561029418240. Its totient is φ = 291456000000.
The previous prime is 1035033999991. The next prime is 1035034000009. The reversal of 1035034000000 is 4305301.
It is an interprime number because it is at equal distance from previous prime (1035033999991) and next prime (1035034000009).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1035034000009) by changing a digit.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22021999977 + ... + 22022000023.
It is an arithmetic number, because the mean of its divisors is an integer number (2649575460).
Almost surely, 21035034000000 is an apocalyptic number.
1035034000000 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 1035034000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780514709120).
1035034000000 is an abundant number, since it is smaller than the sum of its proper divisors (2525995418240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035034000000 is an frugal number, since it uses more digits than its factorization.
1035034000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
Adding to 1035034000000 its reverse (4305301), we get a palindrome (1035038305301).
The spelling of 1035034000000 in words is "one trillion, thirty-five billion, thirty-four million", and thus it is an aban number.
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