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10210212 = 223431513
BaseRepresentation
bin100110111100…
…101110100100
3201012201210000
4212330232210
510103211322
61002501300
7152533245
oct46745644
921181700
1010210212
1158440a1
123504830
13216645c
1414daccc
15d6a3ac
hex9bcba4

10210212 has 30 divisors (see below), whose sum is σ = 26692358. Its totient is φ = 3403296.

The previous prime is 10210177. The next prime is 10210219. The reversal of 10210212 is 21201201.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 4901796 = 2304^2 + 2214^2 .

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 = 10210194 and 10210203.

It is not an unprimeable number, because it can be changed into a prime (10210219) 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 9 ways as a sum of consecutive naturals, for example, 15433 + ... + 16080.

Almost surely, 210210212 is an apocalyptic number.

10210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10210212 is an abundant number, since it is smaller than the sum of its proper divisors (16482146).

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

10210212 is a wasteful number, since it uses less digits than its factorization.

10210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31529 (or 31518 counting only the distinct ones).

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

The square root of 10210212 is about 3195.3422351917. The cubic root of 10210212 is about 216.9426395284.

Adding to 10210212 its reverse (21201201), we get a palindrome (31411413).

The spelling of 10210212 in words is "ten million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 31513 63026 94539 126052 189078 283617 378156 567234 850851 1134468 1701702 2552553 3403404 5105106 10210212