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12001101103 = 41271193521
BaseRepresentation
bin10110010110101001…
…00100010100101111
31010222101012002210001
423023110210110233
5144034240213403
65302505125131
7603253450645
oct131324442457
933871162701
1012001101103
1150a9343982
1223ab1897a7
13119345ba74
1481bc27195
154a38dbc1d
hex2cb52452f

12001101103 has 24 divisors (see below), whose sum is σ = 12562903008. Its totient is φ = 11461632000.

The previous prime is 12001101053. The next prime is 12001101121. The reversal of 12001101103 is 30110110021.

12001101103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001101103 - 229 = 11464230191 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12001101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001104103) 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 23 ways as a sum of consecutive naturals, for example, 23034483 + ... + 23035003.

It is an arithmetic number, because the mean of its divisors is an integer number (523454292).

Almost surely, 212001101103 is an apocalyptic number.

12001101103 is a deficient number, since it is larger than the sum of its proper divisors (561801905).

12001101103 is an equidigital number, since it uses as much as digits as its factorization.

12001101103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 12001101103 its reverse (30110110021), we get a palindrome (42111211124).

The spelling of 12001101103 in words is "twelve billion, one million, one hundred one thousand, one hundred three".

Divisors: 1 41 71 193 521 1681 2911 7913 13703 21361 36991 100553 119351 324433 561823 875801 1516631 4122673 7139263 23034743 62181871 169029593 292709783 12001101103