Base | Representation |
---|---|
bin | 1110100110000… |
… | …10001001001000 |
3 | 22112101002102100 |
4 | 13103002021020 |
5 | 222320230044 |
6 | 20052033400 |
7 | 3014431563 |
oct | 723021110 |
9 | 275332370 |
10 | 122430024 |
11 | 63121542 |
12 | 35002860 |
13 | 1c498002 |
14 | 1238d4da |
15 | ab35869 |
hex | 74c2248 |
122430024 has 48 divisors (see below), whose sum is σ = 333531900. Its totient is φ = 40569984.
The previous prime is 122430017. The next prime is 122430031. The reversal of 122430024 is 420034221.
It is an interprime number because it is at equal distance from previous prime (122430017) and next prime (122430031).
It can be written as a sum of positive squares in 2 ways, for example, as 96236100 + 26193924 = 9810^2 + 5118^2 .
It is a super-2 number, since 2×1224300242 = 29978221553281152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 122429979 and 122430006.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7542 + ... + 17370.
Almost surely, 2122430024 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 122430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166765950).
122430024 is an abundant number, since it is smaller than the sum of its proper divisors (211101876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122430024 is a wasteful number, since it uses less digits than its factorization.
122430024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10014 (or 10007 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 122430024 is about 11064.8101655654. The cubic root of 122430024 is about 496.5496097172.
Adding to 122430024 its reverse (420034221), we get a palindrome (542464245).
The spelling of 122430024 in words is "one hundred twenty-two million, four hundred thirty thousand, twenty-four".
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