Base | Representation |
---|---|
bin | 111100111110100… |
… | …001001110110000 |
3 | 2122021222220100201 |
4 | 330332201032300 |
5 | 4043343201000 |
6 | 245302524544 |
7 | 34231354300 |
oct | 7476411660 |
9 | 2567886321 |
10 | 1023022000 |
11 | 485518630 |
12 | 246736754 |
13 | 133c3ac80 |
14 | 99c21600 |
15 | 5ec2c96a |
hex | 3cfa13b0 |
1023022000 has 480 divisors, whose sum is σ = 3426905664. Its totient is φ = 290304000.
The previous prime is 1023021973. The next prime is 1023022057. The reversal of 1023022000 is 2203201.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14013964 + ... + 14014036.
Almost surely, 21023022000 is an apocalyptic number.
1023022000 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 1023022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713452832).
1023022000 is an abundant number, since it is smaller than the sum of its proper divisors (2403883664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023022000 is a wasteful number, since it uses less digits than its factorization.
1023022000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 134 (or 111 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 1023022000 is about 31984.7150995597. The cubic root of 1023022000 is about 1007.6158515622.
Adding to 1023022000 its reverse (2203201), we get a palindrome (1025225201).
The spelling of 1023022000 in words is "one billion, twenty-three million, twenty-two thousand".
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