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212143020 = 223541831039
BaseRepresentation
bin11001010010100…
…00101110101100
3112210011222111220
430221100232230
5413302034040
633014543340
75154120525
oct1451205654
9483158456
10212143020
11a9827211
125b067b50
1334c4941b
142026384c
15139572d0
hexca50bac

212143020 has 96 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 54474240.

The previous prime is 212143003. The next prime is 212143021. The reversal of 212143020 is 20341212.

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 (212143021) 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, 203661 + ... + 204699.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2212143020 is an apocalyptic number.

212143020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

212143020 is an abundant number, since it is smaller than the sum of its proper divisors (404269140).

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

212143020 is a wasteful number, since it uses less digits than its factorization.

212143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

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

The square root of 212143020 is about 14565.1302774812. The cubic root of 212143020 is about 596.4072520992.

Adding to 212143020 its reverse (20341212), we get a palindrome (232484232).

The spelling of 212143020 in words is "two hundred twelve million, one hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 83 123 164 166 205 246 249 332 410 415 492 498 615 820 830 996 1039 1230 1245 1660 2078 2460 2490 3117 3403 4156 4980 5195 6234 6806 10209 10390 12468 13612 15585 17015 20418 20780 31170 34030 40836 42599 51045 62340 68060 85198 86237 102090 127797 170396 172474 204180 212995 255594 258711 344948 425990 431185 511188 517422 638985 851980 862370 1034844 1277970 1293555 1724740 2555940 2587110 3535717 5174220 7071434 10607151 14142868 17678585 21214302 35357170 42428604 53035755 70714340 106071510 212143020