Search a number
-
+
211000121101200 = 24352533373983579
BaseRepresentation
bin101111111110011101001011…
…010001000000101110010000
31000200002102012020011022111110
4233332131023101000232100
5210124011222000214300
62024432041212413320
762305153462036644
oct5776351321005620
91020072166138443
10211000121101200
116125a7156663a2
121b7b92a1777240
1390972c2804142
143a166632c0c24
15195d8e61ba550
hexbfe74b440b90

211000121101200 has 240 divisors, whose sum is σ = 688861489417920. Its totient is φ = 55188640266240.

The previous prime is 211000121101169. The next prime is 211000121101219. The reversal of 211000121101200 is 2101121000112.

211000121101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2110001211012002 (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214031011 + ... + 215014589.

It is an arithmetic number, because the mean of its divisors is an integer number (2870256205908).

Almost surely, 2211000121101200 is an apocalyptic number.

211000121101200 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 211000121101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344430744708960).

211000121101200 is an abundant number, since it is smaller than the sum of its proper divisors (477861368316720).

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

211000121101200 is a wasteful number, since it uses less digits than its factorization.

211000121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987026 (or 987015 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211000121101200 its reverse (2101121000112), we get a palindrome (213101242101312).

The spelling of 211000121101200 in words is "two hundred eleven trillion, one hundred twenty-one million, one hundred one thousand, two hundred".