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200200010102112 = 25310093259634187
BaseRepresentation
bin101101100001010010110010…
…011111000111010101100000
3222020211221012220220222120010
4231201102302133013111200
5202220034110041231422
61545442340500044520
760111654611164656
oct5541226237072540
9866757186828503
10200200010102112
11588763905543a9
121a55412a393740
138792a1a707227
143761a371b4dd6
1518229dd35bb0c
hexb614b27c7560

200200010102112 has 96 divisors (see below), whose sum is σ = 526208107017600. Its totient is φ = 66646637180928.

The previous prime is 200200010102047. The next prime is 200200010102129. The reversal of 200200010102112 is 211201010002002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315362683 + ... + 315996869.

It is an arithmetic number, because the mean of its divisors is an integer number (5481334448100).

Almost surely, 2200200010102112 is an apocalyptic number.

It is an amenable number.

200200010102112 is an abundant number, since it is smaller than the sum of its proper divisors (326008096915488).

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

200200010102112 is a wasteful number, since it uses less digits than its factorization.

200200010102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638468 (or 638460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200200010102112 its reverse (211201010002002), we get a palindrome (411401020104114).

The spelling of 200200010102112 in words is "two hundred trillion, two hundred billion, ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1009 2018 3027 3259 4036 6054 6518 8072 9777 12108 13036 16144 19554 24216 26072 32288 39108 48432 52144 78216 96864 104288 156432 312864 634187 1268374 1902561 2536748 3288331 3805122 5073496 6576662 7610244 9864993 10146992 13153324 15220488 19729986 20293984 26306648 30440976 39459972 52613296 60881952 78919944 105226592 157839888 315679776 639894683 1279789366 1919684049 2066815433 2559578732 3839368098 4133630866 5119157464 6200446299 7678736196 8267261732 10238314928 12400892598 15357472392 16534523464 20476629856 24801785196 30714944784 33069046928 49603570392 61429889568 66138093856 99207140784 198414281568 2085416771897 4170833543794 6256250315691 8341667087588 12512500631382 16683334175176 25025001262764 33366668350352 50050002525528 66733336700704 100100005051056 200200010102112