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210323112 = 233412111013
BaseRepresentation
bin11001000100101…
…00011010101000
3112122202112001220
430202110122220
5412320314422
632511542040
75132500626
oct1442243250
9478675056
10210323112
11a87a395a
125a52a920
133475cc5c
141dd0c516
15136e7e5c
hexc8946a8

210323112 has 64 divisors (see below), whose sum is σ = 541719360. Its totient is φ = 68006400.

The previous prime is 210323111. The next prime is 210323123. The reversal of 210323112 is 211323012.

It is a super-2 number, since 2×2103231122 = 88471622882729088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210323091 and 210323100.

It is not an unprimeable number, because it can be changed into a prime (210323111) 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 15 ways as a sum of consecutive naturals, for example, 207118 + ... + 208130.

It is an arithmetic number, because the mean of its divisors is an integer number (8464365).

Almost surely, 2210323112 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 210323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270859680).

210323112 is an abundant number, since it is smaller than the sum of its proper divisors (331396248).

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

210323112 is a wasteful number, since it uses less digits than its factorization.

210323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 210323112 is about 14502.5208843153. The cubic root of 210323112 is about 594.6968886645.

Adding to 210323112 its reverse (211323012), we get a palindrome (421646124).

The spelling of 210323112 in words is "two hundred ten million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 211 246 328 422 492 633 844 984 1013 1266 1688 2026 2532 3039 4052 5064 6078 8104 8651 12156 17302 24312 25953 34604 41533 51906 69208 83066 103812 124599 166132 207624 213743 249198 332264 427486 498396 641229 854972 996792 1282458 1709944 2564916 5129832 8763463 17526926 26290389 35053852 52580778 70107704 105161556 210323112