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110212200201020 = 2251714915583139609
BaseRepresentation
bin11001000011110011000111…
…000010101111101100111100
3112110020011221201122220010112
4121003303013002233230330
5103421204041222413040
61030222441422325152
732133366030463001
oct3103630702575474
9473204851586115
10110212200201020
1132131805872a55
121043ba42a297b8
134965c7307ca98
141d304284758a8
15cb1d13ca1365
hex643cc70afb3c

110212200201020 has 96 divisors (see below), whose sum is σ = 246722366016000. Its totient is φ = 41210244440064.

The previous prime is 110212200200987. The next prime is 110212200201031. The reversal of 110212200201020 is 20102002212011.

It is a junction number, because it is equal to n+sod(n) for n = 110212200200986 and 110212200201004.

It is a congruent number.

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, 789364976 + ... + 789504584.

It is an arithmetic number, because the mean of its divisors is an integer number (2570024646000).

Almost surely, 2110212200201020 is an apocalyptic number.

110212200201020 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 110212200201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123361183008000).

110212200201020 is an abundant number, since it is smaller than the sum of its proper divisors (136510165814980).

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

110212200201020 is a wasteful number, since it uses less digits than its factorization.

110212200201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155367 (or 155365 counting only the distinct ones).

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

Adding to 110212200201020 its reverse (20102002212011), we get a palindrome (130314202413031).

The spelling of 110212200201020 in words is "one hundred ten trillion, two hundred twelve billion, two hundred million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 5066 10132 12665 15583 25330 31166 50660 62332 77915 139609 155830 264911 279218 311660 529822 558436 698045 1059644 1324555 1396090 2321867 2373353 2649110 2792180 4643734 4746706 5298220 9287468 9493412 11609335 11866765 20801741 23218670 23733530 39471739 41603482 46437340 47467060 78943478 83206964 104008705 157886956 197358695 208017410 353629597 394717390 416034820 707259194 789434780 1414518388 1768147985 2175527047 3536295970 4351054094 7072591940 8702108188 10877635235 21755270470 36983959799 43510540940 73967919598 147935839196 184919798995 324153530003 369839597990 648307060006 739679195980 1296614120012 1620767650015 3241535300030 5510610010051 6483070600060 11021220020102 22042440040204 27553050050255 55106100100510 110212200201020