Search a number
-
+
210201220011222 = 2351131622920023
BaseRepresentation
bin101111110010110101001001…
…000011001101010011010110
31000120021001002102210222200000
4233302311021003031103112
5210022414044310324342
62023021035105432130
762163352120601136
oct5762651103152326
91016231072728600
10210201220011222
1160a81922842000
121b6aa4a333b646
139039b754162ab
1439c9b16c92ac6
151947c395e644c
hexbf2d490cd4d6

210201220011222 has 192 divisors, whose sum is σ = 519556845749760. Its totient is φ = 63690233476320.

The previous prime is 210201220011197. The next prime is 210201220011313. The reversal of 210201220011222 is 222110022102012.

It is a happy number.

210201220011222 is a `hidden beast` number, since 2 + 10 + 201 + 220 + 0 + 11 + 222 = 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 = 210201220011195 and 210201220011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10497978303 + ... + 10497998325.

It is an arithmetic number, because the mean of its divisors is an integer number (2706025238280).

Almost surely, 2210201220011222 is an apocalyptic number.

210201220011222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210201220011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259778422874880).

210201220011222 is an abundant number, since it is smaller than the sum of its proper divisors (309355625738538).

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

210201220011222 is a wasteful number, since it uses less digits than its factorization.

210201220011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36302 (or 36268 counting only the distinct ones).

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

Adding to 210201220011222 its reverse (222110022102012), we get a palindrome (432311242113234).

The spelling of 210201220011222 in words is "two hundred ten trillion, two hundred one billion, two hundred twenty million, eleven thousand, two hundred twenty-two".