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201010000011012 = 223210951225790013
BaseRepresentation
bin101101101101000101001001…
…101001011001111100000100
3222100201100221111211200021200
4231231011021221121330010
5202321321440000323022
61551302415202542500
760224331120622563
oct5555051151317404
9870640844750250
10201010000011012
1159058953760555
121a665102367a30
138821214249baa
14378cd161d3bda
151838ae86b6bac
hexb6d149a59f04

201010000011012 has 36 divisors (see below), whose sum is σ = 512770158040140. Its totient is φ = 66388623855552.

The previous prime is 201010000010983. The next prime is 201010000011103. The reversal of 201010000011012 is 210110000010102.

It is a happy number.

201010000011012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123423745421376 + 77586254589636 = 11109624^2 + 8808306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201010000010985 and 201010000011003.

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 11 ways as a sum of consecutive naturals, for example, 25612891083 + ... + 25612898930.

It is an arithmetic number, because the mean of its divisors is an integer number (14243615501115).

Almost surely, 2201010000011012 is an apocalyptic number.

It is an amenable number.

201010000011012 is an abundant number, since it is smaller than the sum of its proper divisors (311760158029128).

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

201010000011012 is a wasteful number, since it uses less digits than its factorization.

201010000011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51225790132 (or 51225790127 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201010000011012 its reverse (210110000010102), we get a palindrome (411120000021114).

The spelling of 201010000011012 in words is "two hundred one trillion, ten billion, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 51225790013 102451580026 153677370039 204903160052 307354740078 461032110117 614709480156 922064220234 1844128440468 5583611111417 11167222222834 16750833334251 22334444445668 33501666668502 50252500002753 67003333337004 100505000005506 201010000011012