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2002110012196 = 2272176712237333
BaseRepresentation
bin11101001000100111000…
…011100101101100100100
321002101210111012120112221
4131020213003211230210
5230300310130342241
64131431233522124
7264435103212100
oct35104703455444
97071714176487
102002110012196
117020a99a8218
12284032713344
13116a4b7494b8
146cc8cbc4900
153712d3715d1
hex1d2270e5b24

2002110012196 has 144 divisors (see below), whose sum is σ = 4384061490816. Its totient is φ = 794761583616.

The previous prime is 2002110012187. The next prime is 2002110012209. The reversal of 2002110012196 is 6912100112002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002110012196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273023746 + ... + 273031078.

It is an arithmetic number, because the mean of its divisors is an integer number (30444871464).

Almost surely, 22002110012196 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 2002110012196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192030745408).

2002110012196 is an abundant number, since it is smaller than the sum of its proper divisors (2381951478620).

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

2002110012196 is a wasteful number, since it uses less digits than its factorization.

2002110012196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 2002110012196 its reverse (6912100112002), we get a palindrome (8914210124198).

The spelling of 2002110012196 in words is "two trillion, two billion, one hundred ten million, twelve thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 17 28 34 49 67 68 98 119 134 196 238 268 469 476 833 938 1139 1223 1666 1876 2278 2446 3283 3332 4556 4892 6566 7333 7973 8561 13132 14666 15946 17122 20791 29332 31892 34244 41582 51331 55811 59927 81941 83164 102662 111622 119854 124661 145537 163882 205324 223244 239708 249322 291074 327764 359317 491311 498644 573587 582148 718634 872627 982622 1018759 1147174 1392997 1437268 1745254 1965244 2037518 2294348 2785994 3439177 3490508 4015109 4075036 5571988 6108389 6878354 8030218 8352287 8968259 9750979 12216778 13756708 16060436 16704574 17936518 19501958 24074239 24433556 33409148 35873036 39003916 48148478 58466009 62777813 68256853 96296956 116932018 125555626 136513706 152460403 233864036 251111252 273027412 304920806 409262063 439444691 600873353 609841612 818524126 878889382 1067222821 1201746706 1637048252 1757778764 2134445642 2403493412 4206113471 4268891284 7470559747 8412226942 10214847001 14941119494 16824453884 20429694002 29442794297 29882238988 40859388004 58885588594 71503929007 117771177188 143007858014 286015716028 500527503049 1001055006098 2002110012196