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12310003311012 = 223311107143367579
BaseRepresentation
bin1011001100100010010101…
…0111111110000110100100
31121120211021021222222112000
42303020211113332012210
53103141341321423022
642103045404525300
72410240233460041
oct263104527760644
947524237888460
1012310003311012
113a16708a47790
121469917250830
136b3a9cac7a24
14307b434a61c8
151653288e36ac
hexb32255fe1a4

12310003311012 has 192 divisors, whose sum is σ = 35166599193600. Its totient is φ = 3692807919360.

The previous prime is 12310003310999. The next prime is 12310003311029. The reversal of 12310003311012 is 21011330001321.

12310003311012 is a `hidden beast` number, since 1 + 2 + 310 + 0 + 0 + 331 + 10 + 12 = 666.

12310003311012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182123439 + ... + 182191017.

It is an arithmetic number, because the mean of its divisors is an integer number (183159370800).

Almost surely, 212310003311012 is an apocalyptic number.

12310003311012 is a gapful number since it is divisible by the number (12) 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 12310003311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583299596800).

12310003311012 is an abundant number, since it is smaller than the sum of its proper divisors (22856595882588).

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

12310003311012 is a wasteful number, since it uses less digits than its factorization.

12310003311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69143 (or 69135 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12310003311012 its reverse (21011330001321), we get a palindrome (33321333312333).

The spelling of 12310003311012 in words is "twelve trillion, three hundred ten billion, three million, three hundred eleven thousand, twelve".