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212010210 = 2355432029
BaseRepresentation
bin11001010001100…
…00010011100010
3112202221020100000
430220300103202
5413233311320
633012040430
75153025366
oct1450602342
9482836300
10212010210
11a9746455
125b003116
1334c00b39
142022b2a6
151392cc90
hexca304e2

212010210 has 96 divisors (see below), whose sum is σ = 585224640. Its totient is φ = 55194048.

The previous prime is 212010203. The next prime is 212010217. The reversal of 212010210 is 12010212.

It is an interprime number because it is at equal distance from previous prime (212010203) and next prime (212010217).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212010192 and 212010201.

It is not an unprimeable number, because it can be changed into a prime (212010217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103476 + ... + 105504.

It is an arithmetic number, because the mean of its divisors is an integer number (6096090).

Almost surely, 2212010210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292612320).

212010210 is an abundant number, since it is smaller than the sum of its proper divisors (373214430).

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

212010210 is a wasteful number, since it uses less digits than its factorization.

212010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212010210 is about 14560.5703871792. The cubic root of 212010210 is about 596.2827678681.

Adding to 212010210 its reverse (12010212), we get a palindrome (224020422).

The spelling of 212010210 in words is "two hundred twelve million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 486 645 774 810 1161 1215 1290 1935 2029 2322 2430 3483 3870 4058 5805 6087 6966 10145 10449 11610 12174 17415 18261 20290 20898 30435 34830 36522 52245 54783 60870 87247 91305 104490 109566 164349 174494 182610 261741 273915 328698 436235 493047 523482 547830 785223 821745 872470 986094 1308705 1570446 1643490 2355669 2465235 2617410 3926115 4711338 4930470 7067007 7852230 11778345 14134014 21201021 23556690 35335035 42402042 70670070 106005105 212010210