Search a number
-
+
212111020 = 225119071063
BaseRepresentation
bin11001010010010…
…00111010101100
3112210010100121201
430221020322230
5413300023040
633014135244
75153625322
oct1451107254
9483110551
10212111020
11a9805170
125b051524
1334c379a4
1420255d12
151394ca9a
hexca48eac

212111020 has 48 divisors (see below), whose sum is σ = 486920448. Its totient is φ = 76973760.

The previous prime is 212110981. The next prime is 212111027. The reversal of 212111020 is 20111212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212110988 and 212111006.

It is not an unprimeable number, because it can be changed into a prime (212111027) by changing a digit.

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, 199009 + ... + 200071.

It is an arithmetic number, because the mean of its divisors is an integer number (10144176).

Almost surely, 2212111020 is an apocalyptic number.

212111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111020 is an abundant number, since it is smaller than the sum of its proper divisors (274809428).

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

212111020 is a wasteful number, since it uses less digits than its factorization.

212111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 212111020 is about 14564.0317220198. The cubic root of 212111020 is about 596.3772629096.

Adding to 212111020 its reverse (20111212), we get a palindrome (232222232).

The spelling of 212111020 in words is "two hundred twelve million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 907 1063 1814 2126 3628 4252 4535 5315 9070 9977 10630 11693 18140 19954 21260 23386 39908 46772 49885 58465 99770 116930 199540 233860 964141 1928282 3856564 4820705 9641410 10605551 19282820 21211102 42422204 53027755 106055510 212111020