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213020412 = 223114333727
BaseRepresentation
bin11001011001001…
…10111011111100
3112211211120001220
430230212323330
5414013123122
633045433340
75164433523
oct1454467374
9484746056
10213020412
11aa276430
125b40b850
13351958a7
14204114ba
1513a7c25c
hexcb26efc

213020412 has 48 divisors (see below), whose sum is σ = 543631872. Its totient is φ = 64385280.

The previous prime is 213020393. The next prime is 213020441. The reversal of 213020412 is 214020312.

It is a junction number, because it is equal to n+sod(n) for n = 213020391 and 213020400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55293 + ... + 59019.

It is an arithmetic number, because the mean of its divisors is an integer number (11325664).

Almost surely, 2213020412 is an apocalyptic number.

213020412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213020412 is an abundant number, since it is smaller than the sum of its proper divisors (330611460).

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

213020412 is a wasteful number, since it uses less digits than its factorization.

213020412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213020412 is about 14595.2188061707. The cubic root of 213020412 is about 597.2283384241.

Adding to 213020412 its reverse (214020312), we get a palindrome (427040724).

The spelling of 213020412 in words is "two hundred thirteen million, twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 433 866 1299 1732 2598 3727 4763 5196 7454 9526 11181 14289 14908 19052 22362 28578 40997 44724 57156 81994 122991 163988 245982 491964 1613791 3227582 4841373 6455164 9682746 17751701 19365492 35503402 53255103 71006804 106510206 213020412