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213033312 = 2532739699
BaseRepresentation
bin11001011001010…
…10000101100000
3112211212012202200
430230222011200
5414014031222
633050013200
75164516242
oct1454520540
9484765680
10213033312
11aa285098
125b417200
133519b71b
1420416092
1513a80eac
hexcb2a160

213033312 has 36 divisors (see below), whose sum is σ = 605814300. Its totient is φ = 71011008.

The previous prime is 213033311. The next prime is 213033313. The reversal of 213033312 is 213330312.

It is an interprime number because it is at equal distance from previous prime (213033311) and next prime (213033313).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213033311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369562 + ... + 370137.

It is an arithmetic number, because the mean of its divisors is an integer number (16828175).

Almost surely, 2213033312 is an apocalyptic number.

It is an amenable number.

213033312 is an abundant number, since it is smaller than the sum of its proper divisors (392780988).

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

213033312 is a wasteful number, since it uses less digits than its factorization.

213033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739715 (or 739704 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213033312 is about 14595.6607250237. The cubic root of 213033312 is about 597.2403937478.

Adding to 213033312 its reverse (213330312), we get a palindrome (426363624).

The spelling of 213033312 in words is "two hundred thirteen million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 739699 1479398 2219097 2958796 4438194 5917592 6657291 8876388 11835184 13314582 17752776 23670368 26629164 35505552 53258328 71011104 106516656 213033312