Base | Representation |
---|---|
bin | 1111000011000… |
… | …0001110111010 |
3 | 11101202102120000 |
4 | 3300300032322 |
5 | 112124041442 |
6 | 10132413430 |
7 | 1364305233 |
oct | 360601672 |
9 | 141672500 |
10 | 63112122 |
11 | 32697087 |
12 | 19177276 |
13 | 100c9668 |
14 | 854c08a |
15 | 5819d4c |
hex | 3c303ba |
63112122 has 40 divisors (see below), whose sum is σ = 142133376. Its totient is φ = 20931048.
The previous prime is 63112103. The next prime is 63112141. The reversal of 63112122 is 22121136.
63112122 is a `hidden beast` number, since 631 + 12 + 1 + 22 = 666.
63112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (63112103) and next prime (63112141).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 63112095 and 63112104.
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 19 ways as a sum of consecutive naturals, for example, 35253 + ... + 36999.
Almost surely, 263112122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 63112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066688).
63112122 is an abundant number, since it is smaller than the sum of its proper divisors (79021254).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63112122 is a wasteful number, since it uses less digits than its factorization.
63112122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1984 (or 1975 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 63112122 is about 7944.3138155539. The cubic root of 63112122 is about 398.1416337243.
Adding to 63112122 its reverse (22121136), we get a palindrome (85233258).
The spelling of 63112122 in words is "sixty-three million, one hundred twelve thousand, one hundred twenty-two".
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