Base | Representation |
---|---|
bin | 1110100011101… |
… | …01111001101110 |
3 | 22111210020001100 |
4 | 13101311321232 |
5 | 222230231432 |
6 | 20041223530 |
7 | 3011661255 |
oct | 721657156 |
9 | 274706040 |
10 | 122117742 |
11 | 62a2895a |
12 | 34a91ba6 |
13 | 1c3b8b26 |
14 | 1230b79c |
15 | aac307c |
hex | 7475e6e |
122117742 has 24 divisors (see below), whose sum is σ = 273124800. Its totient is φ = 39392640.
The previous prime is 122117729. The next prime is 122117747. The reversal of 122117742 is 247711221.
It is a happy number.
It is a super-3 number, since 3×1221177423 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122117747) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108867 + ... + 109982.
It is an arithmetic number, because the mean of its divisors is an integer number (11380200).
Almost surely, 2122117742 is an apocalyptic number.
122117742 is an abundant number, since it is smaller than the sum of its proper divisors (151007058).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122117742 is a wasteful number, since it uses less digits than its factorization.
122117742 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 218888 (or 218885 counting only the distinct ones).
The product of its digits is 1568, while the sum is 27.
The square root of 122117742 is about 11050.6896617360. The cubic root of 122117742 is about 496.1270675789.
Adding to 122117742 its reverse (247711221), we get a palindrome (369828963).
The spelling of 122117742 in words is "one hundred twenty-two million, one hundred seventeen thousand, seven hundred forty-two".
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