Base | Representation |
---|---|
bin | 1110100010111… |
… | …10010010011000 |
3 | 22111121022100220 |
4 | 13101132102120 |
5 | 222214133031 |
6 | 20035200040 |
7 | 3011106255 |
oct | 721362230 |
9 | 274538326 |
10 | 122021016 |
11 | 62972217 |
12 | 34a46020 |
13 | 1c383ab0 |
14 | 122c442c |
15 | aaa4596 |
hex | 745e498 |
122021016 has 64 divisors (see below), whose sum is σ = 331521120. Its totient is φ = 37201920.
The previous prime is 122020979. The next prime is 122021041. The reversal of 122021016 is 610120221.
It is a junction number, because it is equal to n+sod(n) for n = 122020986 and 122021004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33526 + ... + 36986.
Almost surely, 2122021016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122021016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165760560).
122021016 is an abundant number, since it is smaller than the sum of its proper divisors (209500104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122021016 is a wasteful number, since it uses less digits than its factorization.
122021016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3596 (or 3592 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 122021016 is about 11046.3123258398. The cubic root of 122021016 is about 495.9960435862.
Adding to 122021016 its reverse (610120221), we get a palindrome (732141237).
The spelling of 122021016 in words is "one hundred twenty-two million, twenty-one thousand, sixteen".
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