Base | Representation |
---|---|
bin | 111001000010111010… |
… | …0100001100110001010 |
3 | 102201012112022022210200 |
4 | 1302011310201212022 |
5 | 4001342040114424 |
6 | 132135550353030 |
7 | 11564524500300 |
oct | 1620564414612 |
9 | 381175268720 |
10 | 122504223114 |
11 | 47a54492aa9 |
12 | 1b8aa4bb776 |
13 | b723c64ab0 |
14 | 5d01b76270 |
15 | 32bec678c9 |
hex | 1c85d2198a |
122504223114 has 144 divisors (see below), whose sum is σ = 335133646848. Its totient is φ = 32054025024.
The previous prime is 122504223109. The next prime is 122504223119. The reversal of 122504223114 is 411322405221.
122504223114 is a `hidden beast` number, since 1 + 22 + 504 + 2 + 23 + 114 = 666.
It is an interprime number because it is at equal distance from previous prime (122504223109) and next prime (122504223119).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (122504223119) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1414119 + ... + 1498245.
It is an arithmetic number, because the mean of its divisors is an integer number (2327316992).
Almost surely, 2122504223114 is an apocalyptic number.
122504223114 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 122504223114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167566823424).
122504223114 is an abundant number, since it is smaller than the sum of its proper divisors (212629423734).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122504223114 is a wasteful number, since it uses less digits than its factorization.
122504223114 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 84289 (or 84279 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
Adding to 122504223114 its reverse (411322405221), we get a palindrome (533826628335).
It can be divided in two parts, 12250 and 4223114, that added together give a square (4235364 = 20582).
The spelling of 122504223114 in words is "one hundred twenty-two billion, five hundred four million, two hundred twenty-three thousand, one hundred fourteen".
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