Search a number
-
+
201212431220 = 22516016283961
BaseRepresentation
bin1011101101100100110…
…0100000101101110100
3201020100211200120110102
42323121030200231310
511244040340244340
6232234040413232
720352142305623
oct2733114405564
9636324616412
10201212431220
1178374198779
1232bb5777218
1315c885769b8
149a4b1296ba
155379b18215
hex2ed9320b74

201212431220 has 24 divisors (see below), whose sum is σ = 422810099208. Its totient is φ = 80434688000.

The previous prime is 201212431187. The next prime is 201212431237. The reversal of 201212431220 is 22134212102.

201212431220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23015317264 + 178197113956 = 151708^2 + 422134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201212431192 and 201212431201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3109961 + ... + 3174000.

It is an arithmetic number, because the mean of its divisors is an integer number (17617087467).

Almost surely, 2201212431220 is an apocalyptic number.

201212431220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212431220 is an abundant number, since it is smaller than the sum of its proper divisors (221597667988).

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

201212431220 is a wasteful number, since it uses less digits than its factorization.

201212431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285571 (or 6285569 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201212431220 its reverse (22134212102), we get a palindrome (223346643322).

The spelling of 201212431220 in words is "two hundred one billion, two hundred twelve million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1601 3202 6404 8005 16010 32020 6283961 12567922 25135844 31419805 62839610 125679220 10060621561 20121243122 40242486244 50303107805 100606215610 201212431220