Base | Representation |
---|---|
bin | 1110101011010… |
… | …11000101110010 |
3 | 22120200020200100 |
4 | 13111223011302 |
5 | 223004401114 |
6 | 20114533230 |
7 | 3023343240 |
oct | 725530562 |
9 | 276606610 |
10 | 123122034 |
11 | 63554452 |
12 | 35297216 |
13 | 1c67ac99 |
14 | 124cd790 |
15 | ac20909 |
hex | 756b172 |
123122034 has 96 divisors (see below), whose sum is σ = 315229824. Its totient is φ = 34007040.
The previous prime is 123122017. The next prime is 123122063. The reversal of 123122034 is 430221321.
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 = 123121998 and 123122016.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637842 + ... + 638034.
It is an arithmetic number, because the mean of its divisors is an integer number (3283644).
Almost surely, 2123122034 is an apocalyptic number.
123122034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 123122034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157614912).
123122034 is an abundant number, since it is smaller than the sum of its proper divisors (192107790).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123122034 is a wasteful number, since it uses less digits than its factorization.
123122034 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 352 (or 349 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 123122034 is about 11096.0368600686. The cubic root of 123122034 is about 497.4834000336.
Adding to 123122034 its reverse (430221321), we get a palindrome (553343355).
The spelling of 123122034 in words is "one hundred twenty-three million, one hundred twenty-two thousand, thirty-four".
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