Base | Representation |
---|---|
bin | 111000110110111011… |
… | …0001101010010001100 |
3 | 102200011111110211112110 |
4 | 1301231312031102030 |
5 | 4000031103323040 |
6 | 132032021504020 |
7 | 11551541653263 |
oct | 1615566152214 |
9 | 380144424473 |
10 | 122102011020 |
11 | 47868447110 |
12 | 1b7b7872010 |
13 | b68b82a682 |
14 | 5ca45975da |
15 | 32997b8980 |
hex | 1c6dd8d48c |
122102011020 has 192 divisors, whose sum is σ = 376559124480. Its totient is φ = 29316268800.
The previous prime is 122102010997. The next prime is 122102011021. The reversal of 122102011020 is 20110201221.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 122102010987 and 122102011005.
It is not an unprimeable number, because it can be changed into a prime (122102011021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56976069 + ... + 56978211.
It is an arithmetic number, because the mean of its divisors is an integer number (1961245440).
Almost surely, 2122102011020 is an apocalyptic number.
122102011020 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 122102011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188279562240).
122102011020 is an abundant number, since it is smaller than the sum of its proper divisors (254457113460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122102011020 is a wasteful number, since it uses less digits than its factorization.
122102011020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2956 (or 2954 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 122102011020 its reverse (20110201221), we get a palindrome (142212212241).
It can be divided in two parts, 12210201 and 1020, that added together give a palindrome (12211221).
The spelling of 122102011020 in words is "one hundred twenty-two billion, one hundred two million, eleven thousand, twenty".
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