Search a number
-
+
220021120210212 = 22363113934495077
BaseRepresentation
bin110010000001101110101000…
…101101101001010100100100
31001212000210222011111102000000
4302001232220231221110210
5212314311223233211322
62055540150211021300
764226000316222336
oct6201565055512444
91055023864442000
10220021120210212
1164118484468972
1220815697b9a830
13959cb97056209
143c49116c47456
151a683c31ba3ac
hexc81ba8b69524

220021120210212 has 336 divisors, whose sum is σ = 600493080768000. Its totient is φ = 70429641315840.

The previous prime is 220021120210193. The next prime is 220021120210217. The reversal of 220021120210212 is 212012021120022.

It is a happy number.

220021120210212 is a `hidden beast` number, since 2 + 200 + 21 + 1 + 20 + 210 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220021120210217) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43336834218 + ... + 43336839294.

It is an arithmetic number, because the mean of its divisors is an integer number (1787181788000).

Almost surely, 2220021120210212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220021120210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300246540384000).

220021120210212 is an abundant number, since it is smaller than the sum of its proper divisors (380471960557788).

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

220021120210212 is a wasteful number, since it uses less digits than its factorization.

220021120210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220021120210212 its reverse (212012021120022), we get a palindrome (432033141330234).

The spelling of 220021120210212 in words is "two hundred twenty trillion, twenty-one billion, one hundred twenty million, two hundred ten thousand, two hundred twelve".