| Base | Representation |
|---|---|
| bin | 1010000011100001010101… |
| … | …10100110000010001100100 |
| 3 | 2220021210220020202101201120 |
| 4 | 11001300222310300101210 |
| 5 | 10344232224242041400 |
| 6 | 115005425533453540 |
| 7 | 4441324253623014 |
| oct | 501605264602144 |
| 9 | 86253806671646 |
| 10 | 22111210112100 |
| 11 | 705534774107a |
| 12 | 25913736412b0 |
| 13 | c4510296a065 |
| 14 | 56628c8d3c44 |
| 15 | 28526b2e2ca0 |
| hex | 141c2ad30464 |
22111210112100 has 288 divisors, whose sum is σ = 65953803686400. Its totient is φ = 5715197429760.
The previous prime is 22111210112077. The next prime is 22111210112149. The reversal of 22111210112100 is 121101211122.
It is a happy number.
It is a super-2 number, since 2×221112101121002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 22111210112100.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5783730789 + ... + 5783734611.
It is an arithmetic number, because the mean of its divisors is an integer number (229006262800).
Almost surely, 222111210112100 is an apocalyptic number.
22111210112100 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 22111210112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32976901843200).
22111210112100 is an abundant number, since it is smaller than the sum of its proper divisors (43842593574300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22111210112100 is a wasteful number, since it uses less digits than its factorization.
22111210112100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5719 (or 5712 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 22111210112100 its reverse (121101211122), we get a palindrome (22232311323222).
The spelling of 22111210112100 in words is "twenty-two trillion, one hundred eleven billion, two hundred ten million, one hundred twelve thousand, one hundred".
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