Search a number
-
+
210010101220200 = 233523128373979861
BaseRepresentation
bin101111110000000011001001…
…011110111000001101101000
31000112120202210001002110112110
4233300003021132320031220
5210011301141403021300
62022353150354442320
762143505040640521
oct5760031136701550
91015522701073473
10210010101220200
1160a08869206636
121b679445b933a0
139024b38084878
1439c0786503848
151942ca0bd6550
hexbf00c97b8368

210010101220200 has 192 divisors, whose sum is σ = 672269374149120. Its totient is φ = 54177038208000.

The previous prime is 210010101220193. The next prime is 210010101220211. The reversal of 210010101220200 is 2022101010012.

It is a super-2 number, since 2×2100101012202002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50778270 + ... + 54758130.

It is an arithmetic number, because the mean of its divisors is an integer number (3501402990360).

Almost surely, 2210010101220200 is an apocalyptic number.

210010101220200 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 210010101220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336134687074560).

210010101220200 is an abundant number, since it is smaller than the sum of its proper divisors (462259272928920).

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

210010101220200 is a wasteful number, since it uses less digits than its factorization.

210010101220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982748 (or 3982739 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210010101220200 its reverse (2022101010012), we get a palindrome (212032202230212).

The spelling of 210010101220200 in words is "two hundred ten trillion, ten billion, one hundred one million, two hundred twenty thousand, two hundred".