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213030200111220 = 223252335079403913
BaseRepresentation
bin110000011011111111110101…
…011001110111000001110100
31000221021111011220222012012200
4300123333311121313001310
5210410241322212024340
62033024420051144500
762604631643644542
oct6033776531670164
91027244156865180
10213030200111220
1161972667305648
121ba8681aba5130
1391b387a90519b
143a86a068a4d92
15199660ebcc330
hexc1bff5677074

213030200111220 has 72 divisors (see below), whose sum is σ = 648964961668296. Its totient is φ = 56564241964032.

The previous prime is 213030200111173. The next prime is 213030200111221. The reversal of 213030200111220 is 22111002030312.

213030200111220 is a `hidden beast` number, since 2 + 1 + 30 + 302 + 0 + 0 + 111 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41562803274084 + 171467396837136 = 6446922^2 + 13094556^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 213030200111193 and 213030200111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213030200111221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539660017 + ... + 2539743896.

It is an arithmetic number, because the mean of its divisors is an integer number (9013402245393).

Almost surely, 2213030200111220 is an apocalyptic number.

213030200111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213030200111220 is an abundant number, since it is smaller than the sum of its proper divisors (435934761557076).

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

213030200111220 is a wasteful number, since it uses less digits than its factorization.

213030200111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079404161 (or 5079404156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213030200111220 its reverse (22111002030312), we get a palindrome (235141202141532).

The spelling of 213030200111220 in words is "two hundred thirteen trillion, thirty billion, two hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6990 8388 10485 13980 20970 41940 5079403913 10158807826 15238211739 20317615652 25397019565 30476423478 45714635217 50794039130 60952846956 76191058695 91429270434 101588078260 152382117390 182858540868 228573176085 304764234780 457146352170 914292704340 1183501111729 2367002223458 3550503335187 4734004446916 5917505558645 7101006670374 10651510005561 11835011117290 14202013340748 17752516675935 21303020011122 23670022234580 35505033351870 42606040022244 53257550027805 71010066703740 106515100055610 213030200111220