Base | Representation |
---|---|
bin | 111100111010101… |
… | …111010100010000 |
3 | 2122020010120010110 |
4 | 330322233110100 |
5 | 4043114443440 |
6 | 245225401320 |
7 | 34220056365 |
oct | 7472572420 |
9 | 2566116113 |
10 | 1022031120 |
11 | 484a01120 |
12 | 246339240 |
13 | 133981c56 |
14 | 99a4446c |
15 | 5ead4080 |
hex | 3ceaf510 |
1022031120 has 160 divisors (see below), whose sum is σ = 3491455104. Its totient is φ = 245248000.
The previous prime is 1022031083. The next prime is 1022031133. The reversal of 1022031120 is 211302201.
It is a super-2 number, since 2×10220311202 = 2089095220496908800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 1022031096 and 1022031105.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264724 + ... + 268556.
Almost surely, 21022031120 is an apocalyptic number.
1022031120 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 1022031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745727552).
1022031120 is an abundant number, since it is smaller than the sum of its proper divisors (2469423984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022031120 is a wasteful number, since it uses less digits than its factorization.
1022031120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3961 (or 3955 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1022031120 is about 31969.2214481366. The cubic root of 1022031120 is about 1007.2904271754.
Adding to 1022031120 its reverse (211302201), we get a palindrome (1233333321).
The spelling of 1022031120 in words is "one billion, twenty-two million, thirty-one thousand, one hundred twenty".
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