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212030310 = 2351929101127
BaseRepresentation
bin11001010001101…
…01001101100110
3112202222020220110
430220311031212
5413234432220
633012313450
75153141112
oct1450651546
9482866813
10212030310
11a975a568
125b012886
1334c0a02b
1420234742
1513933be0
hexca35366

212030310 has 128 divisors (see below), whose sum is σ = 564019200. Its totient is φ = 50803200.

The previous prime is 212030309. The next prime is 212030317. The reversal of 212030310 is 13030212.

212030310 = 2312 + 2322 + ... + 8652.

It is a happy number.

212030310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120303102 = 89913704717392200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212030317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1669467 + ... + 1669593.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2212030310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212030310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600).

212030310 is an abundant number, since it is smaller than the sum of its proper divisors (351988890).

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

212030310 is a wasteful number, since it uses less digits than its factorization.

212030310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 212030310 is about 14561.2605910340. The cubic root of 212030310 is about 596.3016111507.

Adding to 212030310 its reverse (13030212), we get a palindrome (225060522).

The spelling of 212030310 in words is "two hundred twelve million, thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 101 114 127 145 174 190 202 254 285 290 303 381 435 505 551 570 606 635 762 870 1010 1102 1270 1515 1653 1905 1919 2413 2755 2929 3030 3306 3683 3810 3838 4826 5510 5757 5858 7239 7366 8265 8787 9595 11049 11514 12065 12827 14478 14645 16530 17574 18415 19190 22098 24130 25654 28785 29290 36195 36830 38481 43935 55245 55651 57570 64135 69977 72390 76962 87870 110490 111302 128270 139954 166953 192405 209931 243713 278255 333906 349885 371983 384810 419862 487426 556510 699770 731139 743966 834765 1049655 1115949 1218565 1462278 1669530 1859915 2099310 2231898 2437130 3655695 3719830 5579745 7067677 7311390 11159490 14135354 21203031 35338385 42406062 70676770 106015155 212030310