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201330112 = 2683151251
BaseRepresentation
bin11000000000000…
…00110111000000
3112000211121222211
430000000313000
5403020030422
631551111504
74663164154
oct1400006700
9460747884
10201330112
11a3711325
1257512594
1332931859
141ca4b064
1512a1d577
hexc000dc0

201330112 has 56 divisors (see below), whose sum is σ = 408627072. Its totient is φ = 98400000.

The previous prime is 201330097. The next prime is 201330113. The reversal of 201330112 is 211033102.

It is a junction number, because it is equal to n+sod(n) for n = 201330092 and 201330101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201330113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801987 + ... + 802237.

It is an arithmetic number, because the mean of its divisors is an integer number (7296912).

Almost surely, 2201330112 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 201330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204313536).

201330112 is an abundant number, since it is smaller than the sum of its proper divisors (207296960).

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

201330112 is a wasteful number, since it uses less digits than its factorization.

201330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 201330112 is about 14189.0842551590. The cubic root of 201330112 is about 586.0971079271.

Adding to 201330112 its reverse (211033102), we get a palindrome (412363214).

The spelling of 201330112 in words is "two hundred one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 151 166 251 302 332 502 604 664 1004 1208 1328 2008 2416 2656 4016 4832 5312 8032 9664 12533 16064 20833 25066 37901 41666 50132 75802 83332 100264 151604 166664 200528 303208 333328 401056 606416 666656 802112 1212832 1333312 2425664 3145783 6291566 12583132 25166264 50332528 100665056 201330112