Search a number
-
+
212031020 = 22523460937
BaseRepresentation
bin11001010001101…
…01011000101100
3112202222021212202
430220311120230
5413234443040
633012321032
75153143145
oct1450653054
9482867782
10212031020
11a9760053
125b013178
1334c0a456
1420234acc
1513934015
hexca3562c

212031020 has 24 divisors (see below), whose sum is σ = 464625504. Its totient is φ = 81124736.

The previous prime is 212031011. The next prime is 212031031. The reversal of 212031020 is 20130212.

It is a happy number.

It is a super-3 number, since 3×2120310203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212030992 and 212031010.

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 7 ways as a sum of consecutive naturals, for example, 230009 + ... + 230928.

It is an arithmetic number, because the mean of its divisors is an integer number (19359396).

Almost surely, 2212031020 is an apocalyptic number.

212031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212031020 is an abundant number, since it is smaller than the sum of its proper divisors (252594484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212031020 is a wasteful number, since it uses less digits than its factorization.

212031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460969 (or 460967 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 212031020 is about 14561.2849707710. The cubic root of 212031020 is about 596.3022767374.

Adding to 212031020 its reverse (20130212), we get a palindrome (232161232).

The spelling of 212031020 in words is "two hundred twelve million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 460937 921874 1843748 2304685 4609370 9218740 10601551 21203102 42406204 53007755 106015510 212031020