Base | Representation |
---|---|
bin | 11001000011110… |
… | …010001010111011 |
3 | 1002022002200000110 |
4 | 121003302022323 |
5 | 1330112003311 |
6 | 105415035403 |
7 | 13263350040 |
oct | 3103621273 |
9 | 1068080013 |
10 | 420422331 |
11 | 1a635457a |
12 | b896bb63 |
13 | 69142014 |
14 | 3db9d1c7 |
15 | 26d998a6 |
hex | 190f22bb |
420422331 has 16 divisors (see below), whose sum is σ = 643309568. Its totient is φ = 239241600.
The previous prime is 420422281. The next prime is 420422339. The reversal of 420422331 is 133224024.
It is a de Polignac number, because none of the positive numbers 2k-420422331 is a prime.
It is a super-3 number, since 3×4204223313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 420422298 and 420422307.
It is not an unprimeable number, because it can be changed into a prime (420422339) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36475 + ... + 46596.
It is an arithmetic number, because the mean of its divisors is an integer number (40206848).
Almost surely, 2420422331 is an apocalyptic number.
420422331 is a deficient number, since it is larger than the sum of its proper divisors (222887237).
420422331 is a wasteful number, since it uses less digits than its factorization.
420422331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83322.
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 420422331 is about 20504.2027643115. The cubic root of 420422331 is about 749.1381691539.
Adding to 420422331 its reverse (133224024), we get a palindrome (553646355).
The spelling of 420422331 in words is "four hundred twenty million, four hundred twenty-two thousand, three hundred thirty-one".
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