Base | Representation |
---|---|
bin | 11001011100010… |
… | …00101111101000 |
3 | 112212120220121200 |
4 | 30232020233220 |
5 | 414113433112 |
6 | 33102204200 |
7 | 5201022516 |
oct | 1456105750 |
9 | 485526550 |
10 | 213421032 |
11 | aa51a420 |
12 | 5b583660 |
13 | 352a6046 |
14 | 204b74b6 |
15 | 13b0acdc |
hex | cb88be8 |
213421032 has 96 divisors (see below), whose sum is σ = 647693280. Its totient is φ = 62916480.
The previous prime is 213421027. The next prime is 213421037. The reversal of 213421032 is 230124312.
213421032 is a `hidden beast` number, since 213 + 421 + 0 + 32 = 666.
213421032 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 (213421027) and next prime (213421037).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 213420996 and 213421014.
It is not an unprimeable number, because it can be changed into a prime (213421037) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25663 + ... + 32945.
It is an arithmetic number, because the mean of its divisors is an integer number (6746805).
Almost surely, 2213421032 is an apocalyptic number.
213421032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213421032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323846640).
213421032 is an abundant number, since it is smaller than the sum of its proper divisors (434272248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213421032 is a wasteful number, since it uses less digits than its factorization.
213421032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7343 (or 7336 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 213421032 is about 14608.9367169551. The cubic root of 213421032 is about 597.6024994116.
Adding to 213421032 its reverse (230124312), we get a palindrome (443545344).
The spelling of 213421032 in words is "two hundred thirteen million, four hundred twenty-one thousand, thirty-two".
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