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201213 = 3279283
BaseRepresentation
bin110001000111111101
3101020000100
4301013331
522414323
64151313
71465425
oct610775
9336010
10201213
111281a1
1298539
137077c
1453485
153e943
hex311fd

201213 has 12 divisors (see below), whose sum is σ = 295360. Its totient is φ = 131976.

The previous prime is 201211. The next prime is 201233. The reversal of 201213 is 312102.

It is a happy number.

It is not a de Polignac number, because 201213 - 21 = 201211 is a prime.

It is a super-3 number, since 3×2012133 = 24439333818511791, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

201213 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 201195 and 201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211) 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 11 ways as a sum of consecutive naturals, for example, 570 + ... + 852.

2201213 is an apocalyptic number.

It is an amenable number.

201213 is a deficient number, since it is larger than the sum of its proper divisors (94147).

201213 is a wasteful number, since it uses less digits than its factorization.

201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201213 is about 448.5677206398. The cubic root of 201213 is about 58.5983443331.

Adding to 201213 its reverse (312102), we get a palindrome (513315).

Subtracting 201213 from its reverse (312102), we obtain a square (110889 = 3332).

It can be divided in two parts, 2012 and 13, that added together give a square (2025 = 452).

The spelling of 201213 in words is "two hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 79 237 283 711 849 2547 22357 67071 201213