Base | Representation |
---|---|
bin | 1110100011101… |
… | …00000101110000 |
3 | 22111202211212110 |
4 | 13101310011300 |
5 | 222230012240 |
6 | 20041125320 |
7 | 3011630523 |
oct | 721640560 |
9 | 274684773 |
10 | 122110320 |
11 | 62a23322 |
12 | 34a89840 |
13 | 1c3b5637 |
14 | 12308bba |
15 | aac0c80 |
hex | 7474170 |
122110320 has 120 divisors (see below), whose sum is σ = 403139376. Its totient is φ = 30470144.
The previous prime is 122110301. The next prime is 122110327. The reversal of 122110320 is 23011221.
It is a tau number, because it is divible by the number of its divisors (120).
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 = 122110296 and 122110305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122110327) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705754 + ... + 705926.
Almost surely, 2122110320 is an apocalyptic number.
122110320 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 122110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201569688).
122110320 is an abundant number, since it is smaller than the sum of its proper divisors (281029056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122110320 is a wasteful number, since it uses less digits than its factorization.
122110320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 379 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 122110320 is about 11050.3538404885. The cubic root of 122110320 is about 496.1170162693.
Adding to 122110320 its reverse (23011221), we get a palindrome (145121541).
Subtracting from 122110320 its reverse (23011221), we obtain a palindrome (99099099).
The spelling of 122110320 in words is "one hundred twenty-two million, one hundred ten thousand, three hundred twenty".
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