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211320330 = 235133311637
BaseRepresentation
bin11001001100001…
…11111000001010
3112201122011222220
430212013320022
5413044222310
632545154510
75144123154
oct1446077012
9481564886
10211320330
11a9315101
125a92ba36
1334a1bb20
14200cbad4
1513843670
hexc987e0a

211320330 has 64 divisors (see below), whose sum is σ = 548166528. Its totient is φ = 51828480.

The previous prime is 211320313. The next prime is 211320331. The reversal of 211320330 is 33023112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (211320331) 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 31 ways as a sum of consecutive naturals, for example, 128272 + ... + 129908.

It is an arithmetic number, because the mean of its divisors is an integer number (8565102).

Almost surely, 2211320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274083264).

211320330 is an abundant number, since it is smaller than the sum of its proper divisors (336846198).

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

211320330 is a wasteful number, since it uses less digits than its factorization.

211320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 211320330 is about 14536.8610779632. The cubic root of 211320330 is about 595.6352981765.

Adding to 211320330 its reverse (33023112), we get a palindrome (244343442).

The spelling of 211320330 in words is "two hundred eleven million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 331 390 662 993 1637 1655 1986 3274 3310 4303 4911 4965 8185 8606 9822 9930 12909 16370 21281 21515 24555 25818 42562 43030 49110 63843 64545 106405 127686 129090 212810 319215 541847 638430 1083694 1625541 2709235 3251082 5418470 7044011 8127705 14088022 16255410 21132033 35220055 42264066 70440110 105660165 211320330