Base | Representation |
---|---|
bin | 111100111111010… |
… | …001110110000000 |
3 | 2122022101000111112 |
4 | 330333101312000 |
5 | 4043421033440 |
6 | 245311102452 |
7 | 34233143645 |
oct | 7477216600 |
9 | 2568330445 |
10 | 1023221120 |
11 | 485644199 |
12 | 246811a28 |
13 | 133caa7ac |
14 | 99c73dcc |
15 | 5ec6b965 |
hex | 3cfd1d80 |
1023221120 has 64 divisors (see below), whose sum is σ = 2503092240. Its totient is φ = 399759360.
The previous prime is 1023221107. The next prime is 1023221141. The reversal of 1023221120 is 211223201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 1023221095 and 1023221104.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8930 + ... + 46110.
Almost surely, 21023221120 is an apocalyptic number.
1023221120 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 1023221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251546120).
1023221120 is an abundant number, since it is smaller than the sum of its proper divisors (1479871120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023221120 is an equidigital number, since it uses as much as digits as its factorization.
1023221120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37243 (or 37231 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 1023221120 is about 31987.8276849179. The cubic root of 1023221120 is about 1007.6812211086.
Adding to 1023221120 its reverse (211223201), we get a palindrome (1234444321).
The spelling of 1023221120 in words is "one billion, twenty-three million, two hundred twenty-one thousand, one hundred twenty".
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