Search a number
-
+
211233204300 = 223524397223757
BaseRepresentation
bin1100010010111001111…
…0101110100001001100
3202012020012112120220010
43010232132232201030
511430101200014200
6241012244353220
721155361416526
oct3045636564114
9665205476803
10211233204300
1181646700918
1234b316a5810
1316bc4658421
14a31bd38a16
15576472b150
hex312e7ae84c

211233204300 has 288 divisors, whose sum is σ = 635500214272. Its totient is φ = 54135889920.

The previous prime is 211233204289. The next prime is 211233204307. The reversal of 211233204300 is 3402332112.

211233204300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211233204307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279039522 + ... + 279040278.

Almost surely, 2211233204300 is an apocalyptic number.

211233204300 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 211233204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317750107136).

211233204300 is an abundant number, since it is smaller than the sum of its proper divisors (424267009972).

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

211233204300 is a wasteful number, since it uses less digits than its factorization.

211233204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 211233204300 its reverse (3402332112), we get a palindrome (214635536412).

The spelling of 211233204300 in words is "two hundred eleven billion, two hundred thirty-three million, two hundred four thousand, three hundred".