| Base | Representation |
|---|---|
| bin | 11101110000000001000… |
| … | …01111101111111100000 |
| 3 | 10121201111122120021200121 |
| 4 | 32320000201331333200 |
| 5 | 113221442021333440 |
| 6 | 2101333003530024 |
| 7 | 133565226111130 |
| oct | 16700041757740 |
| 9 | 3551448507617 |
| 10 | 1022211121120 |
| 11 | 36457658aa42 |
| 12 | 146140529914 |
| 13 | 75517a99a67 |
| 14 | 37692262ac0 |
| 15 | 1b8cb69934a |
| hex | ee0087dfe0 |
1022211121120 has 384 divisors, whose sum is σ = 2856765542400. Its totient is φ = 338465267712.
The previous prime is 1022211121117. The next prime is 1022211121181. The reversal of 1022211121120 is 211211122201.
1022211121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10222111211202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1022211121094 and 1022211121103.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800477922 + ... + 800479198.
It is an arithmetic number, because the mean of its divisors is an integer number (7439493600).
Almost surely, 21022211121120 is an apocalyptic number.
1022211121120 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 1022211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428382771200).
1022211121120 is an abundant number, since it is smaller than the sum of its proper divisors (1834554421280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022211121120 is a wasteful number, since it uses less digits than its factorization.
1022211121120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1570 (or 1562 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 1022211121120 its reverse (211211122201), we get a palindrome (1233422243321).
The spelling of 1022211121120 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •