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3003100212 = 2237971672207
BaseRepresentation
bin1011001011111111…
…1010110000110100
321202021212022000210
42302333322300310
522122243201322
61213554505420
7134263634130
oct26277726064
97667768023
103003100212
111301198702
126b9895270
1338b22b698
14206bb23c0
151289a770c
hexb2ffac34

3003100212 has 96 divisors (see below), whose sum is σ = 8142962688. Its totient is φ = 843715584.

The previous prime is 3003100193. The next prime is 3003100223. The reversal of 3003100212 is 2120013003.

It is a happy number.

It is a super-2 number, since 2×30031002122 = 18037221766628889888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 1359613 + ... + 1361819.

It is an arithmetic number, because the mean of its divisors is an integer number (84822528).

Almost surely, 23003100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071481344).

3003100212 is an abundant number, since it is smaller than the sum of its proper divisors (5139862476).

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

3003100212 is a wasteful number, since it uses less digits than its factorization.

3003100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3003100212 is about 54800.5493768083. The cubic root of 3003100212 is about 1442.7462080958.

Adding to 3003100212 its reverse (2120013003), we get a palindrome (5123113215).

The spelling of 3003100212 in words is "three billion, three million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 167 194 291 334 388 501 582 668 679 1002 1164 1169 1358 2004 2037 2207 2338 2716 3507 4074 4414 4676 6621 7014 8148 8828 13242 14028 15449 16199 26484 30898 32398 46347 48597 61796 64796 92694 97194 113393 185388 194388 214079 226786 340179 368569 428158 453572 642237 680358 737138 856316 1105707 1284474 1360716 1474276 1498553 2211414 2568948 2579983 2997106 4422828 4495659 5159966 5994212 7739949 8991318 10319932 15479898 17982636 30959796 35751193 71502386 107253579 143004772 214507158 250258351 429014316 500516702 750775053 1001033404 1501550106 3003100212