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213042330 = 2325231011019
BaseRepresentation
bin11001011001011…
…00010010011010
3112211212200010200
430230230102122
5414014323310
633050123030
75164554444
oct1454542232
9484780120
10213042330
11aa290946
125b420476
13351a2867
1420419494
1513a839c0
hexcb2c49a

213042330 has 96 divisors (see below), whose sum is σ = 584288640. Its totient is φ = 53750400.

The previous prime is 213042311. The next prime is 213042331. The reversal of 213042330 is 33240312.

213042330 is a `hidden beast` number, since 213 + 0 + 423 + 30 = 666.

213042330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (213042331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208561 + ... + 209579.

It is an arithmetic number, because the mean of its divisors is an integer number (6086340).

Almost surely, 2213042330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213042330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292144320).

213042330 is an abundant number, since it is smaller than the sum of its proper divisors (371246310).

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

213042330 is a wasteful number, since it uses less digits than its factorization.

213042330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1153 counting only the distinct ones).

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

The square root of 213042330 is about 14595.9696491874. The cubic root of 213042330 is about 597.2488209711.

Adding to 213042330 its reverse (33240312), we get a palindrome (246282642).

The spelling of 213042330 in words is "two hundred thirteen million, forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 101 115 138 202 207 230 303 345 414 505 606 690 909 1010 1019 1035 1515 1818 2038 2070 2323 3030 3057 4545 4646 5095 6114 6969 9090 9171 10190 11615 13938 15285 18342 20907 23230 23437 30570 34845 41814 45855 46874 69690 70311 91710 102919 104535 117185 140622 205838 209070 210933 234370 308757 351555 421866 514595 617514 703110 926271 1029190 1054665 1543785 1852542 2109330 2367137 3087570 4631355 4734274 7101411 9262710 11835685 14202822 21304233 23671370 35507055 42608466 71014110 106521165 213042330