| Base | Representation |
|---|---|
| bin | 11110101111000100010… |
| … | …010110111011000010100 |
| 3 | 21110220202102120212202200 |
| 4 | 132233010102313120110 |
| 5 | 234101111242101400 |
| 6 | 4254143501204500 |
| 7 | 305411233444662 |
| oct | 36570422673024 |
| 9 | 7426672525680 |
| 10 | 2112122222100 |
| 11 | 744822a27860 |
| 12 | 2a1415560730 |
| 13 | 12423162caa7 |
| 14 | 74327865c32 |
| 15 | 39e1b57bb00 |
| hex | 1ebc44b7614 |
2112122222100 has 216 divisors, whose sum is σ = 7274140779360. Its totient is φ = 508345632000.
The previous prime is 2112122222059. The next prime is 2112122222107. The reversal of 2112122222100 is 12222212112.
It is a happy number.
2112122222100 is a `hidden beast` number, since 21 + 1 + 212 + 222 + 210 + 0 = 666.
It is a super-2 number, since 2×21121222221002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2112122222107) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 608670 + ... + 2143530.
Almost surely, 22112122222100 is an apocalyptic number.
2112122222100 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 2112122222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637070389680).
2112122222100 is an abundant number, since it is smaller than the sum of its proper divisors (5162018557260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112122222100 is a wasteful number, since it uses less digits than its factorization.
2112122222100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1535031 (or 1535021 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2112122222100 its reverse (12222212112), we get a palindrome (2124344434212).
It can be divided in two parts, 21 and 12122222100, that added together give a palindrome (12122222121).
The spelling of 2112122222100 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".
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