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210100212 = 223271749043
BaseRepresentation
bin11001000010111…
…01111111110100
3112122100012022100
430201131333310
5412241201322
632503102100
75130552030
oct1441357764
9478305270
10210100212
11a8661443
125a441930
13346b266a
141dc911c0
15136a1dac
hexc85dff4

210100212 has 72 divisors (see below), whose sum is σ = 642672576. Its totient is φ = 56496384.

The previous prime is 210100211. The next prime is 210100243. The reversal of 210100212 is 212001012.

210100212 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 210100194 and 210100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20238 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (8926008).

Almost surely, 2210100212 is an apocalyptic number.

It is an amenable number.

210100212 is an abundant number, since it is smaller than the sum of its proper divisors (432572364).

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

210100212 is a wasteful number, since it uses less digits than its factorization.

210100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49077 (or 49072 counting only the distinct ones).

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

The square root of 210100212 is about 14494.8339762827. The cubic root of 210100212 is about 594.4867282261.

Adding to 210100212 its reverse (212001012), we get a palindrome (422101224).

The spelling of 210100212 in words is "two hundred ten million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 49043 98086 147129 196172 294258 343301 441387 588516 686602 833731 882774 1029903 1373204 1667462 1765548 2059806 2501193 3089709 3334924 4119612 5002386 5836117 6179418 7503579 10004772 11672234 12358836 15007158 17508351 23344468 30014316 35016702 52525053 70033404 105050106 210100212