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213211132300 = 225289211113537
BaseRepresentation
bin1100011010010001011…
…1111011000110001100
3202101100001100202000201
43012210113323012030
511443124022213200
6241540422303244
721255366502465
oct3064427730614
9671301322021
10213211132300
1182471142461
12353a3b87b24
131714b37521a
14a4688c9d6c
15582d1cdc6a
hex31a45fb18c

213211132300 has 72 divisors (see below), whose sum is σ = 470088193680. Its totient is φ = 83925811200.

The previous prime is 213211132297. The next prime is 213211132301. The reversal of 213211132300 is 3231112312.

213211132300 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 (213211132301) 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 23 ways as a sum of consecutive naturals, for example, 1821132 + ... + 1934668.

It is an arithmetic number, because the mean of its divisors is an integer number (6529002690).

Almost surely, 2213211132300 is an apocalyptic number.

213211132300 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 213211132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235044096840).

213211132300 is an abundant number, since it is smaller than the sum of its proper divisors (256877061380).

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

213211132300 is a wasteful number, since it uses less digits than its factorization.

213211132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113851 (or 113844 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213211132300 its reverse (3231112312), we get a palindrome (216442244612).

The spelling of 213211132300 in words is "two hundred thirteen billion, two hundred eleven million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 211 356 422 445 844 890 1055 1780 2110 2225 4220 4450 5275 8900 10550 18779 21100 37558 75116 93895 113537 187790 227074 375580 454148 469475 567685 938950 1135370 1877900 2270740 2838425 5676850 10104793 11353700 20209586 23956307 40419172 47912614 50523965 95825228 101047930 119781535 202095860 239563070 252619825 479126140 505239650 598907675 1010479300 1197815350 2132111323 2395630700 4264222646 8528445292 10660556615 21321113230 42642226460 53302783075 106605566150 213211132300