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213003222300 = 2232521129741913
BaseRepresentation
bin1100011001011111111…
…0110011110100011100
3202100210120010211010100
43012113332303310130
511442212311103200
6241504034141100
721250263342051
oct3062776636434
9670716124110
10213003222300
1182374847610
1235346421790
131711727b75b
14a449049028
155819d10d00
hex3197fb3d1c

213003222300 has 216 divisors, whose sum is σ = 753458181840. Its totient is φ = 49856486400.

The previous prime is 213003222293. The next prime is 213003222317. The reversal of 213003222300 is 3222300312.

It is a happy number.

213003222300 is a `hidden beast` number, since 21 + 300 + 322 + 23 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83857 + ... + 658056.

Almost surely, 2213003222300 is an apocalyptic number.

213003222300 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 213003222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376729090920).

213003222300 is an abundant number, since it is smaller than the sum of its proper divisors (540454959540).

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

213003222300 is a wasteful number, since it uses less digits than its factorization.

213003222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741973 (or 741963 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213003222300 its reverse (3222300312), we get a palindrome (216225522612).

The spelling of 213003222300 in words is "two hundred thirteen billion, three million, two hundred twenty-two thousand, three hundred".