Search a number
-
+
211320332233200 = 24335264130525269
BaseRepresentation
bin110000000011000111011001…
…010101100010100111110000
31000201020000201021220020011000
4300003013121111202213300
5210144233020022430300
62025235115340322000
762340250554536361
oct6003073125424760
91021200637806130
10211320332233200
11613734a4488273
121b84b367843300
1390bb563991848
143a27d5c787b68
151966dd7decc00
hexc031d95629f0

211320332233200 has 240 divisors, whose sum is σ = 753317265189600. Its totient is φ = 56264173977600.

The previous prime is 211320332233121. The next prime is 211320332233211. The reversal of 211320332233200 is 2332233023112.

211320332233200 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 0 + 3 + 322 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8339835 + ... + 22185434.

It is an arithmetic number, because the mean of its divisors is an integer number (3138821938290).

Almost surely, 2211320332233200 is an apocalyptic number.

211320332233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320332233200 is an abundant number, since it is smaller than the sum of its proper divisors (541996932956400).

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

211320332233200 is a wasteful number, since it uses less digits than its factorization.

211320332233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30525937 (or 30525920 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 211320332233200 its reverse (2332233023112), we get a palindrome (213652565256312).

The spelling of 211320332233200 in words is "two hundred eleven trillion, three hundred twenty billion, three hundred thirty-two million, two hundred thirty-three thousand, two hundred".