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112001200220 = 225721347187049
BaseRepresentation
bin110100001001111001…
…0101011000001011100
3101201002120000110222202
41220103302223001130
53313334301401340
6123241434231032
711043331331300
oct1502362530134
9351076013882
10112001200220
1143554837498
1219858b85478
13a73bca4650
1455c6cb1d00
152da7b45c15
hex1a13cab05c

112001200220 has 144 divisors (see below), whose sum is σ = 300920054400. Its totient is φ = 34692166656.

The previous prime is 112001200217. The next prime is 112001200261. The reversal of 112001200220 is 22002100211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505256 + ... + 692304.

It is an arithmetic number, because the mean of its divisors is an integer number (2089722600).

Almost surely, 2112001200220 is an apocalyptic number.

112001200220 is a gapful number since it is divisible by the number (10) 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 112001200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150460027200).

112001200220 is an abundant number, since it is smaller than the sum of its proper divisors (188918854180).

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

112001200220 is a wasteful number, since it uses less digits than its factorization.

112001200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187132 (or 187123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112001200220 its reverse (22002100211), we get a palindrome (134003300431).

The spelling of 112001200220 in words is "one hundred twelve billion, one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 49 52 65 70 91 94 98 130 140 182 188 196 235 245 260 329 364 455 470 490 611 637 658 910 940 980 1222 1274 1316 1645 1820 2303 2444 2548 3055 3185 3290 4277 4606 6110 6370 6580 8554 9212 11515 12220 12740 17108 21385 23030 29939 42770 46060 59878 85540 119756 149695 187049 299390 374098 598780 748196 935245 1309343 1870490 2431637 2618686 3740980 4863274 5237372 6546715 8791303 9165401 9726548 12158185 13093430 17021459 17582606 18330802 24316370 26186860 34042918 35165212 36661604 43956515 45827005 48632740 61539121 68085836 85107295 87913030 91654010 114286939 119150213 123078242 170214590 175826060 183308020 228573878 238300426 246156484 307695605 340429180 430773847 457147756 476600852 571434695 595751065 615391210 800008573 861547694 1142869390 1191502130 1230782420 1600017146 1723095388 2153869235 2285738780 2383004260 3200034292 4000042865 4307738470 5600060011 8000085730 8615476940 11200120022 16000171460 22400240044 28000300055 56000600110 112001200220