Search a number
-
+
210221113212 = 2233112171277451
BaseRepresentation
bin1100001111001000100…
…1111001111101111100
3202002121200010000221000
43003302021321331330
511421013101110322
6240324012010300
721121321656615
oct3036211717574
9662550100830
10210221113212
1181177379900
12348aa760990
1316a92a76966
14a263760c0c
15570595c3ac
hex30f2279f7c

210221113212 has 288 divisors, whose sum is σ = 639388753920. Its totient is φ = 59476032000.

The previous prime is 210221113199. The next prime is 210221113213. The reversal of 210221113212 is 212311122012.

210221113212 is a `hidden beast` number, since 210 + 22 + 111 + 321 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210221113213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28210087 + ... + 28217537.

It is an arithmetic number, because the mean of its divisors is an integer number (2220099840).

Almost surely, 2210221113212 is an apocalyptic number.

210221113212 is a gapful number since it is divisible by the number (22) 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 210221113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319694376960).

210221113212 is an abundant number, since it is smaller than the sum of its proper divisors (429167640708).

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

210221113212 is a wasteful number, since it uses less digits than its factorization.

210221113212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 210221113212 its reverse (212311122012), we get a palindrome (422532235224).

The spelling of 210221113212 in words is "two hundred ten billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred twelve".