Search a number
-
+
212021210012220 = 223557181142324197
BaseRepresentation
bin110000001101010100001000…
…111010000101101000111100
31000210201000210200002102100000
4300031110020322011220330
5210242223414230342340
62030533111011434300
762442012143422410
oct6015241072055074
91023630720072300
10212021210012220
1161613765741274
121b94316a2b5990
13913c68bc44b4b
143a4dc4a4a2d40
15197a259092d30
hexc0d508e85a3c

212021210012220 has 576 divisors, whose sum is σ = 767010855776256. Its totient is φ = 48158386652160.

The previous prime is 212021210012201. The next prime is 212021210012257. The reversal of 212021210012220 is 22210012120212.

It is a happy number.

212021210012220 is a `hidden beast` number, since 2 + 120 + 212 + 100 + 12 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212021210012193 and 212021210012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8762281162 + ... + 8762305358.

It is an arithmetic number, because the mean of its divisors is an integer number (1331616069056).

Almost surely, 2212021210012220 is an apocalyptic number.

212021210012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021210012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383505427888128).

212021210012220 is an abundant number, since it is smaller than the sum of its proper divisors (554989645764036).

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

212021210012220 is a wasteful number, since it uses less digits than its factorization.

212021210012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25832 (or 25818 counting only the distinct ones).

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

Adding to 212021210012220 its reverse (22210012120212), we get a palindrome (234231222132432).

The spelling of 212021210012220 in words is "two hundred twelve trillion, twenty-one billion, two hundred ten million, twelve thousand, two hundred twenty".