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201212200112 = 247112941913441
BaseRepresentation
bin1011101101100100101…
…1101000010010110000
3201020100211020211102212
42323121023220102300
511244040310400422
6232234031431252
720352140324060
oct2733113502260
9636324224385
10201212200112
1178374050080
1232bb5685528
1315c884c5751
149a4b0a93a0
155379abe9e2
hex2ed92e84b0

201212200112 has 160 divisors (see below), whose sum is σ = 504042739200. Its totient is φ = 75504844800.

The previous prime is 201212200109. The next prime is 201212200151. The reversal of 201212200112 is 211002212102.

201212200112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14963312 + ... + 14976752.

It is an arithmetic number, because the mean of its divisors is an integer number (3150267120).

Almost surely, 2201212200112 is an apocalyptic number.

201212200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201212200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252021369600).

201212200112 is an abundant number, since it is smaller than the sum of its proper divisors (302830539088).

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

201212200112 is a wasteful number, since it uses less digits than its factorization.

201212200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915 (or 13909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201212200112 its reverse (211002212102), we get a palindrome (412214412214).

The spelling of 201212200112 in words is "two hundred one billion, two hundred twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 419 464 616 638 812 838 1232 1276 1624 1676 2233 2552 2933 3248 3352 4466 4609 5104 5866 6704 8932 9218 11732 12151 13441 17864 18436 23464 24302 26882 32263 35728 36872 46928 48604 53764 64526 73744 85057 94087 97208 107528 129052 133661 147851 170114 188174 194416 215056 258104 267322 295702 340228 376348 389789 516208 534644 591404 680456 752696 779578 935627 1034957 1069288 1182808 1360912 1505392 1559156 1871254 2069914 2138576 2365616 2728523 3118312 3742508 4139828 4287679 5457046 5631779 6236624 7485016 8279656 8575358 10914092 11263558 14970032 16559312 17150716 21828184 22527116 30013753 34301432 39422453 43656368 45054232 60027506 61949569 68602864 78844906 90108464 120055012 123899138 157689812 163321591 240110024 247798276 315379624 326643182 433646983 480220048 495596552 630759248 653286364 867293966 991193104 1143251137 1306572728 1734587932 1796537501 2286502274 2613145456 3469175864 3593075002 4573004548 6938351728 7186150004 9146009096 12575762507 14372300008 18292018192 25151525014 28744600016 50303050028 100606100056 201212200112