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2100212212 = 227331226609
BaseRepresentation
bin111110100101110…
…1011000111110100
312102100220211112111
41331023223013310
513300123242322
6544222500404
7103021336450
oct17513530764
95370824474
102100212212
1198857357a
124a7434704
13276163627
1415cd03660
15c45aa177
hex7d2eb1f4

2100212212 has 24 divisors (see below), whose sum is σ = 4213133120. Its totient is φ = 897367680.

The previous prime is 2100212209. The next prime is 2100212227. The reversal of 2100212212 is 2122120012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2100212192 and 2100212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104037 + ... + 122572.

Almost surely, 22100212212 is an apocalyptic number.

It is an amenable number.

2100212212 is an abundant number, since it is smaller than the sum of its proper divisors (2112920908).

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

2100212212 is a wasteful number, since it uses less digits than its factorization.

2100212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226951 (or 226949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2100212212 is about 45828.0723138122. The cubic root of 2100212212 is about 1280.6222991323.

Adding to 2100212212 its reverse (2122120012), we get a palindrome (4222332224).

The spelling of 2100212212 in words is "two billion, one hundred million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 331 662 1324 2317 4634 9268 226609 453218 906436 1586263 3172526 6345052 75007579 150015158 300030316 525053053 1050106106 2100212212