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212300213333 = 13251257383661
BaseRepresentation
bin1100010110111000010…
…1000010110001010101
3202021222120022021010012
43011232011002301111
511434242323311313
6241310202210005
721223666016165
oct3055605026125
9667876267105
10212300213333
1182043a3256a
123518aab3905
1317034727910
14a3bd92a5a5
1557c8246da8
hex316e142c55

212300213333 has 32 divisors (see below), whose sum is σ = 231386222592. Its totient is φ = 193628160000.

The previous prime is 212300213249. The next prime is 212300213393. The reversal of 212300213333 is 333312003212.

It is a cyclic number.

It is not a de Polignac number, because 212300213333 - 28 = 212300213077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212300213299 and 212300213308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212300213393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321180023 + ... + 321180683.

It is an arithmetic number, because the mean of its divisors is an integer number (7230819456).

Almost surely, 2212300213333 is an apocalyptic number.

It is an amenable number.

212300213333 is a deficient number, since it is larger than the sum of its proper divisors (19086009259).

212300213333 is a wasteful number, since it uses less digits than its factorization.

212300213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 212300213333 its reverse (333312003212), we get a palindrome (545612216545).

The spelling of 212300213333 in words is "two hundred twelve billion, three hundred million, two hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 13 251 257 383 661 3263 3341 4979 8593 64507 96133 98431 165911 169877 253163 838591 1249729 1279603 2156843 2208401 3291119 24706181 42639127 63543913 65062891 321180353 554308651 826070869 845817583 16330785641 212300213333