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110001200001 = 3731110699091
BaseRepresentation
bin110011001110010010…
…1010001101110000001
3101111221011122221110120
41212130211101232001
53300240301400001
6122311151250453
710642634526000
oct1463445215601
9344834587416
10110001200001
114271889a750
121939b219a29
13a4b082a174
145477416c37
152cdc283236
hex199c951b81

110001200001 has 64 divisors (see below), whose sum is σ = 186786048000. Its totient is φ = 57083745600.

The previous prime is 110001199981. The next prime is 110001200003. The reversal of 110001200001 is 100002100011.

It is not a de Polignac number, because 110001200001 - 27 = 110001199873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110001200003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12095466 + ... + 12104556.

It is an arithmetic number, because the mean of its divisors is an integer number (2918532000).

Almost surely, 2110001200001 is an apocalyptic number.

110001200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001200001 is a deficient number, since it is larger than the sum of its proper divisors (76784847999).

110001200001 is a wasteful number, since it uses less digits than its factorization.

110001200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110001200001 its reverse (100002100011), we get a palindrome (210003300012).

The spelling of 110001200001 in words is "one hundred ten billion, one million, two hundred thousand, one".

Divisors: 1 3 7 11 21 33 49 77 147 231 343 539 1029 1069 1617 3207 3773 7483 9091 11319 11759 22449 27273 35277 52381 63637 82313 100001 157143 190911 246939 300003 366667 445459 576191 700007 1100001 1336377 1728573 2100021 3118213 4033337 4900049 9354639 9718279 12100011 14700147 29154837 34300343 68027953 102901029 106901069 204083859 320703207 476195671 748307483 1428587013 2244922449 3333369697 5238152381 10000109091 15714457143 36667066667 110001200001