Base | Representation |
---|---|
bin | 111000111101011101… |
… | …0000000100001000000 |
3 | 102200201202202021100101 |
4 | 1301322322000201000 |
5 | 4001003201023404 |
6 | 132105445532144 |
7 | 11560142201113 |
oct | 1617272004100 |
9 | 380652667311 |
10 | 122321111104 |
11 | 47970095265 |
12 | 1b859114054 |
13 | b6c50415aa |
14 | 5cc570c57a |
15 | 32adb472a4 |
hex | 1c7ae80840 |
122321111104 has 112 divisors (see below), whose sum is σ = 262012907520. Its totient is φ = 56476224000.
The previous prime is 122321111093. The next prime is 122321111153. The reversal of 122321111104 is 401111123221.
It is a super-2 number, since 2×1223211111042 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14340889 + ... + 14349415.
It is an arithmetic number, because the mean of its divisors is an integer number (2339400960).
Almost surely, 2122321111104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122321111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131006453760).
122321111104 is an abundant number, since it is smaller than the sum of its proper divisors (139691796416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122321111104 is a wasteful number, since it uses less digits than its factorization.
122321111104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8856 (or 8846 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 19.
Adding to 122321111104 its reverse (401111123221), we get a palindrome (523432234325).
The spelling of 122321111104 in words is "one hundred twenty-two billion, three hundred twenty-one million, one hundred eleven thousand, one hundred four".
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