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303212112 = 24377911423
BaseRepresentation
bin10010000100101…
…010011001010000
3210010112202211020
4102010222121100
51110110241422
650030515440
710341155220
oct2204523120
9703482736
10303212112
11146178825
1285665b80
134aa83b68
142c3ac080
151b94595c
hex1212a650

303212112 has 80 divisors (see below), whose sum is σ = 906608640. Its totient is φ = 85527936.

The previous prime is 303212069. The next prime is 303212113. The reversal of 303212112 is 211212303.

303212112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 303212091 and 303212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303212113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20833 + ... + 32255.

It is an arithmetic number, because the mean of its divisors is an integer number (11332608).

Almost surely, 2303212112 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 303212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453304320).

303212112 is an abundant number, since it is smaller than the sum of its proper divisors (603396528).

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

303212112 is a wasteful number, since it uses less digits than its factorization.

303212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11514 counting only the distinct ones).

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

The square root of 303212112 is about 17412.9868776152. The cubic root of 303212112 is about 671.8136884294.

Adding to 303212112 its reverse (211212303), we get a palindrome (514424415).

The spelling of 303212112 in words is "three hundred three million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 6636 8848 11423 13272 22846 26544 34269 45692 68538 79961 91384 137076 159922 182768 239883 274152 319844 479766 548304 639688 902417 959532 1279376 1804834 1919064 2707251 3609668 3838128 5414502 6316919 7219336 10829004 12633838 14438672 18950757 21658008 25267676 37901514 43316016 50535352 75803028 101070704 151606056 303212112