Base | Representation |
---|---|
bin | 111000110100100100… |
… | …1010110111001001010 |
3 | 102122222000002000202000 |
4 | 1301221021112321022 |
5 | 3444400411120114 |
6 | 132020123251430 |
7 | 11546563422300 |
oct | 1615111267112 |
9 | 378860060660 |
10 | 122023145034 |
11 | 4782797aa0a |
12 | 1b795379b76 |
13 | b6783a64cb |
14 | 5c97d08270 |
15 | 32928dae09 |
hex | 1c69256e4a |
122023145034 has 96 divisors (see below), whose sum is σ = 315641266560. Its totient is φ = 34840846656.
The previous prime is 122023145021. The next prime is 122023145039. The reversal of 122023145034 is 430541320221.
122023145034 is a `hidden beast` number, since 1 + 2 + 202 + 3 + 1 + 450 + 3 + 4 = 666.
122023145034 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1220231450342 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 122023144989 and 122023145007.
It is not an unprimeable number, because it can be changed into a prime (122023145039) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4237774 + ... + 4266470.
It is an arithmetic number, because the mean of its divisors is an integer number (3287929860).
Almost surely, 2122023145034 is an apocalyptic number.
122023145034 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 122023145034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157820633280).
122023145034 is an abundant number, since it is smaller than the sum of its proper divisors (193618121526).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122023145034 is a wasteful number, since it uses less digits than its factorization.
122023145034 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30329 (or 30316 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 122023145034 its reverse (430541320221), we get a palindrome (552564465255).
The spelling of 122023145034 in words is "one hundred twenty-two billion, twenty-three million, one hundred forty-five thousand, thirty-four".
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