| Base | Representation |
|---|---|
| bin | 111111001111110… |
| … | …1000001001000100 |
| 3 | 12110220022221200110 |
| 4 | 1332133220021010 |
| 5 | 13321242020400 |
| 6 | 550330313020 |
| 7 | 103406400420 |
| oct | 17637501104 |
| 9 | 5426287613 |
| 10 | 2122220100 |
| 11 | 999a35410 |
| 12 | 4b2888770 |
| 13 | 27a89a950 |
| 14 | 161bd1b80 |
| 15 | c64a5e50 |
| hex | 7e7e8244 |
2122220100 has 576 divisors, whose sum is σ = 8511455232. Its totient is φ = 393984000.
The previous prime is 2122220077. The next prime is 2122220101. The reversal of 2122220100 is 10222212.
2122220100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (2122220101) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11111005 + ... + 11111195.
It is an arithmetic number, because the mean of its divisors is an integer number (14776832).
Almost surely, 22122220100 is an apocalyptic number.
2122220100 is a gapful number since it is divisible by the number (20) 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 2122220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255727616).
2122220100 is an abundant number, since it is smaller than the sum of its proper divisors (6389235132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122220100 is a wasteful number, since it uses less digits than its factorization.
2122220100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 276 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 2122220100 is about 46067.5601698202. The cubic root of 2122220100 is about 1285.0799306314.
Adding to 2122220100 its reverse (10222212), we get a palindrome (2132442312).
It can be divided in two parts, 2122 and 220100, that added together give a palindrome (222222).
The spelling of 2122220100 in words is "two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".
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