Base | Representation |
---|---|
bin | 111001010111111110… |
… | …1000101101011010010 |
3 | 102210000210102221212000 |
4 | 1302233331011223102 |
5 | 4004314021023442 |
6 | 132334041414430 |
7 | 11621200110261 |
oct | 1625775055322 |
9 | 383023387760 |
10 | 123211111122 |
11 | 48287507470 |
12 | 1ba6719a416 |
13 | b807546418 |
14 | 5d6b9c45d8 |
15 | 3311d4ad4c |
hex | 1caff45ad2 |
123211111122 has 128 divisors (see below), whose sum is σ = 302883840000. Its totient is φ = 36814227840.
The previous prime is 123211111109. The next prime is 123211111129. The reversal of 123211111122 is 221111112321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 123211111095 and 123211111104.
It is not an unprimeable number, because it can be changed into a prime (123211111129) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49224123 + ... + 49226625.
It is an arithmetic number, because the mean of its divisors is an integer number (2366280000).
Almost surely, 2123211111122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123211111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151441920000).
123211111122 is an abundant number, since it is smaller than the sum of its proper divisors (179672728878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123211111122 is a wasteful number, since it uses less digits than its factorization.
123211111122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3653 (or 3647 counting only the distinct ones).
The product of its digits is 48, while the sum is 18.
Adding to 123211111122 its reverse (221111112321), we get a palindrome (344322223443).
The spelling of 123211111122 in words is "one hundred twenty-three billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-two".
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