Base | Representation |
---|---|
bin | 111001011000010011… |
… | …0101000001011000000 |
3 | 102210001112221012000122 |
4 | 1302300212220023000 |
5 | 4004324313002240 |
6 | 132335111035412 |
7 | 11621361502226 |
oct | 1626046501300 |
9 | 383045835018 |
10 | 123222000320 |
11 | 48292674701 |
12 | 1ba6a96bb68 |
13 | b809889933 |
14 | 5d6d21ab16 |
15 | 3312c9c4b5 |
hex | 1cb09a82c0 |
123222000320 has 112 divisors (see below), whose sum is σ = 315949157280. Its totient is φ = 45603078144.
The previous prime is 123222000271. The next prime is 123222000361. The reversal of 123222000320 is 23000222321.
123222000320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1232220003202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (17).
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, 129002 + ... + 512918.
Almost surely, 2123222000320 is an apocalyptic number.
123222000320 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 123222000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157974578640).
123222000320 is an abundant number, since it is smaller than the sum of its proper divisors (192727156960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123222000320 is a wasteful number, since it uses less digits than its factorization.
123222000320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 384010 (or 384000 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
Adding to 123222000320 its reverse (23000222321), we get a palindrome (146222222641).
The spelling of 123222000320 in words is "one hundred twenty-three billion, two hundred twenty-two million, three hundred twenty", and thus it is an aban number.
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