Search a number
-
+
212111044022340 = 223351973798752489
BaseRepresentation
bin110000001110100111110011…
…011011101001000001000100
31000211000121200100121222011000
4300032213303123221001010
5210300211404232203330
62031042245102213300
762451342256051431
oct6016476333510104
91024017610558130
10212111044022340
1161648874699741
121b95865b584230
139147ca755a158
143a5432d312b88
15197c765a82560
hexc0e9f36e9044

212111044022340 has 192 divisors, whose sum is σ = 663280873516800. Its totient is φ = 56273269957632.

The previous prime is 212111044022299. The next prime is 212111044022341. The reversal of 212111044022340 is 43220440111212.

212111044022340 is a `hidden beast` number, since 2 + 1 + 2 + 11 + 10 + 4 + 402 + 234 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212111044022341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4041030816 + ... + 4041083304.

It is an arithmetic number, because the mean of its divisors is an integer number (3454587882900).

Almost surely, 2212111044022340 is an apocalyptic number.

212111044022340 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 212111044022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331640436758400).

212111044022340 is an abundant number, since it is smaller than the sum of its proper divisors (451169829494460).

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

212111044022340 is a wasteful number, since it uses less digits than its factorization.

212111044022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90691 (or 90683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212111044022340 its reverse (43220440111212), we get a palindrome (255331484133552).

The spelling of 212111044022340 in words is "two hundred twelve trillion, one hundred eleven billion, forty-four million, twenty-two thousand, three hundred forty".