Base | Representation |
---|---|
bin | 111000110100100000… |
… | …1111111010000010010 |
3 | 102122221212102212202200 |
4 | 1301221001333100102 |
5 | 3444344412310302 |
6 | 132020014024030 |
7 | 11546541125160 |
oct | 1615101772022 |
9 | 378855385680 |
10 | 122021213202 |
11 | 47826880559 |
12 | 1b7947a8016 |
13 | b677b7b105 |
14 | 5c97964230 |
15 | 329265881c |
hex | 1c6907f412 |
122021213202 has 96 divisors (see below), whose sum is σ = 304592296320. Its totient is φ = 34582291200.
The previous prime is 122021213161. The next prime is 122021213207. The reversal of 122021213202 is 202312120221.
122021213202 is a `hidden beast` number, since 1 + 220 + 2 + 121 + 320 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (122021213207) 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 47 ways as a sum of consecutive naturals, for example, 7889577 + ... + 7905027.
It is an arithmetic number, because the mean of its divisors is an integer number (3172836420).
Almost surely, 2122021213202 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122021213202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152296148160).
122021213202 is an abundant number, since it is smaller than the sum of its proper divisors (182571083118).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122021213202 is a wasteful number, since it uses less digits than its factorization.
122021213202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15968 (or 15965 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 122021213202 its reverse (202312120221), we get a palindrome (324333333423).
The spelling of 122021213202 in words is "one hundred twenty-two billion, twenty-one million, two hundred thirteen thousand, two hundred two".
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