Base | Representation |
---|---|
bin | 111000110100111011… |
… | …1010111011110011010 |
3 | 102122222211202210100000 |
4 | 1301221313113132122 |
5 | 3444412003043132 |
6 | 132021233553430 |
7 | 11550101064501 |
oct | 1615167273632 |
9 | 378884683300 |
10 | 122035206042 |
11 | 47833768592 |
12 | 1b799415876 |
13 | b67aa3a1b9 |
14 | 5c99767838 |
15 | 32939be87c |
hex | 1c69dd779a |
122035206042 has 96 divisors (see below), whose sum is σ = 276531038784. Its totient is φ = 40334112000.
The previous prime is 122035205989. The next prime is 122035206053. The reversal of 122035206042 is 240602530221.
It is a happy number.
122035206042 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 3 + 52 + 0 + 604 + 2 = 666.
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 = 122035205997 and 122035206015.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43567042 + ... + 43569842.
It is an arithmetic number, because the mean of its divisors is an integer number (2880531654).
Almost surely, 2122035206042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122035206042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138265519392).
122035206042 is an abundant number, since it is smaller than the sum of its proper divisors (154495832742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122035206042 is a wasteful number, since it uses less digits than its factorization.
122035206042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3546 (or 3534 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 122035206042 its reverse (240602530221), we get a palindrome (362637736263).
The spelling of 122035206042 in words is "one hundred twenty-two billion, thirty-five million, two hundred six thousand, forty-two".
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