Search a number
-
+
212031300 = 223521354367
BaseRepresentation
bin11001010001101…
…01011101000100
3112202222022021010
430220311131010
5413240000200
633012322220
75153144025
oct1450653504
9482868233
10212031300
11a9760288
125b013370
1334c0a610
1420234c4c
1513934150
hexca35744

212031300 has 72 divisors (see below), whose sum is σ = 660679936. Its totient is φ = 52191360.

The previous prime is 212031283. The next prime is 212031311. The reversal of 212031300 is 3130212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 23284 + ... + 31083.

Almost surely, 2212031300 is an apocalyptic number.

212031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212031300 is an abundant number, since it is smaller than the sum of its proper divisors (448648636).

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

212031300 is a wasteful number, since it uses less digits than its factorization.

212031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54397 (or 54390 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 212031300 is about 14561.2945853039. The cubic root of 212031300 is about 596.3025392219.

Adding to 212031300 its reverse (3130212), we get a palindrome (215161512).

The spelling of 212031300 in words is "two hundred twelve million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 54367 108734 163101 217468 271835 326202 543670 652404 706771 815505 1087340 1359175 1413542 1631010 2120313 2718350 2827084 3262020 3533855 4077525 4240626 5436700 7067710 8155050 8481252 10601565 14135420 16310100 17669275 21203130 35338550 42406260 53007825 70677100 106015650 212031300