Search a number
-
+
210022221102012 = 22331115733114472351
BaseRepresentation
bin101111110000001110011011…
…111000100011101110111100
31000112121221001200210020211000
4233300032123320203232330
5210012001002100231022
62022402513145530300
762144414266144104
oct5760163370435674
91015557050706730
10210022221102012
1160a12a185a9190
121b67b868aa3990
13902601a001577
1439c11b600a204
15194325ec376ac
hexbf039be23bbc

210022221102012 has 384 divisors, whose sum is σ = 600261276303360. Its totient is φ = 62976307680000.

The previous prime is 210022221101897. The next prime is 210022221102019. The reversal of 210022221102012 is 210201122220012.

It is a happy number.

210022221102012 is a `hidden beast` number, since 210 + 0 + 22 + 221 + 10 + 201 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210022221102019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89333142637 + ... + 89333144987.

It is an arithmetic number, because the mean of its divisors is an integer number (1563180407040).

Almost surely, 2210022221102012 is an apocalyptic number.

210022221102012 is a gapful number since it is divisible by the number (22) 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 210022221102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300130638151680).

210022221102012 is an abundant number, since it is smaller than the sum of its proper divisors (390239055201348).

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

210022221102012 is a wasteful number, since it uses less digits than its factorization.

210022221102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4302 counting only the distinct ones).

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

Adding to 210022221102012 its reverse (210201122220012), we get a palindrome (420223343322024).

The spelling of 210022221102012 in words is "two hundred ten trillion, twenty-two billion, two hundred twenty-one million, one hundred two thousand, twelve".