Base | Representation |
---|---|
bin | 100001011100001… |
… | …1110001100110100 |
3 | 2220012102120212000 |
4 | 1002320132030310 |
5 | 4244224200040 |
6 | 303202255300 |
7 | 36543456426 |
oct | 10270361464 |
9 | 2805376760 |
10 | 1122100020 |
11 | 52643a398 |
12 | 273957530 |
13 | 14b61ac12 |
14 | a9052816 |
15 | 6879e130 |
hex | 42e1e334 |
1122100020 has 96 divisors (see below), whose sum is σ = 3504695040. Its totient is φ = 298051200.
The previous prime is 1122099959. The next prime is 1122100033. The reversal of 1122100020 is 200012211.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1122099975 and 1122100011.
It is a congruent number.
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, 138070 + ... + 145970.
It is an arithmetic number, because the mean of its divisors is an integer number (36507240).
Almost surely, 21122100020 is an apocalyptic number.
1122100020 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 1122100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752347520).
1122100020 is an abundant number, since it is smaller than the sum of its proper divisors (2382595020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122100020 is a wasteful number, since it uses less digits than its factorization.
1122100020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8182 (or 8174 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1122100020 is about 33497.7614177425. The cubic root of 1122100020 is about 1039.1474830652.
Adding to 1122100020 its reverse (200012211), we get a palindrome (1322112231).
The spelling of 1122100020 in words is "one billion, one hundred twenty-two million, one hundred thousand, twenty".
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