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213212232200 = 2352111015771663
BaseRepresentation
bin1100011010010001110…
…0000111101000001000
3202101100010102121210202
43012210130013220020
511443124312412300
6241540502031332
721255412033262
oct3064434075010
9671303377722
10213212232200
1182471823870
12353a4418548
131714b66ba56
14a468ad4b32
15582d349ad5
hex31a4707a08

213212232200 has 192 divisors, whose sum is σ = 547413534720. Its totient is φ = 76584960000.

The previous prime is 213212232199. The next prime is 213212232223. The reversal of 213212232200 is 2232212312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 128208569 + ... + 128210231.

It is an arithmetic number, because the mean of its divisors is an integer number (2851112160).

Almost surely, 2213212232200 is an apocalyptic number.

213212232200 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 213212232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273706767360).

213212232200 is an abundant number, since it is smaller than the sum of its proper divisors (334201302520).

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

213212232200 is a wasteful number, since it uses less digits than its factorization.

213212232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213212232200 its reverse (2232212312), we get a palindrome (215444444512).

The spelling of 213212232200 in words is "two hundred thirteen billion, two hundred twelve million, two hundred thirty-two thousand, two hundred".