Search a number
-
+
211113033300 = 223252131031671049
BaseRepresentation
bin1100010010011101010…
…0010011111001010100
3202011220211102021021100
43010213110103321110
511424324414031200
6240552312550100
721152402114001
oct3044724237124
9664824367240
10211113033300
1181594892644
1234ab93b2330
1316ba57a1720
14a309db68a8
155758dded00
hex3127513e54

211113033300 has 432 divisors, whose sum is σ = 724541126400. Its totient is φ = 51104839680.

The previous prime is 211113033253. The next prime is 211113033317. The reversal of 211113033300 is 3330311112.

It is a happy number.

211113033300 is a `hidden beast` number, since 21 + 1 + 11 + 303 + 330 + 0 = 666.

211113033300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201251176 + ... + 201252224.

Almost surely, 2211113033300 is an apocalyptic number.

211113033300 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 211113033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362270563200).

211113033300 is an abundant number, since it is smaller than the sum of its proper divisors (513428093100).

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

211113033300 is a wasteful number, since it uses less digits than its factorization.

211113033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211113033300 its reverse (3330311112), we get a palindrome (214443344412).

The spelling of 211113033300 in words is "two hundred eleven billion, one hundred thirteen million, thirty-three thousand, three hundred".