Base | Representation |
---|---|
bin | 111000110100100100… |
… | …1100111100010101000 |
3 | 102122222000012111021120 |
4 | 1301221021213202220 |
5 | 3444400420310344 |
6 | 132020124535240 |
7 | 11546564125143 |
oct | 1615111474250 |
9 | 378860174246 |
10 | 122023213224 |
11 | 47827a17170 |
12 | 1b7953b1520 |
13 | b6783cb563 |
14 | 5c97d2505a |
15 | 3292901219 |
hex | 1c692678a8 |
122023213224 has 256 divisors, whose sum is σ = 356078592000. Its totient is φ = 34437427200.
The previous prime is 122023213211. The next prime is 122023213303. The reversal of 122023213224 is 422312320221.
It is a super-3 number, since 3×1220232132243 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 122023213194 and 122023213203.
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 63 ways as a sum of consecutive naturals, for example, 283116289 + ... + 283116719.
It is an arithmetic number, because the mean of its divisors is an integer number (1390932000).
Almost surely, 2122023213224 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 122023213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178039296000).
122023213224 is an abundant number, since it is smaller than the sum of its proper divisors (234055378776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122023213224 is a wasteful number, since it uses less digits than its factorization.
122023213224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 984 (or 980 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 122023213224 its reverse (422312320221), we get a palindrome (544335533445).
The spelling of 122023213224 in words is "one hundred twenty-two billion, twenty-three million, two hundred thirteen thousand, two hundred twenty-four".
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