Search a number
-
+
212201012200 = 23521405175511
BaseRepresentation
bin1100010110100000101…
…0100111101111101000
3202021201122122022202011
43011220022213233220
511434041424342300
6241252300045304
721221352562102
oct3055012475750
9667648568664
10212201012200
1181aa2a37261
1235161833834
131701a003918
14a3b06a6572
1557be69deba
hex31682a7be8

212201012200 has 48 divisors (see below), whose sum is σ = 493409000160. Its totient is φ = 84873240000.

The previous prime is 212201012173. The next prime is 212201012209. The reversal of 212201012200 is 2210102212.

It is a happy number.

212201012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212201012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2772445 + ... + 2847955.

It is an arithmetic number, because the mean of its divisors is an integer number (10279354170).

Almost surely, 2212201012200 is an apocalyptic number.

212201012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201012200 is an abundant number, since it is smaller than the sum of its proper divisors (281207987960).

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

212201012200 is a wasteful number, since it uses less digits than its factorization.

212201012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89578 (or 89569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212201012200 its reverse (2210102212), we get a palindrome (214411114412).

The spelling of 212201012200 in words is "two hundred twelve billion, two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 14051 28102 56204 70255 75511 112408 140510 151022 281020 302044 351275 377555 562040 604088 702550 755110 1405100 1510220 1887775 2810200 3020440 3775550 7551100 15102200 1061005061 2122010122 4244020244 5305025305 8488040488 10610050610 21220101220 26525126525 42440202440 53050253050 106100506100 212201012200