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12101011101 = 321344556789
BaseRepresentation
bin10110100010100011…
…01100011010011101
31011020100012001112100
423101101230122131
5144240324323401
65320434355313
7605605616514
oct132121543235
934210161470
1012101011101
11514a783823
12241872bb39
1311ab0705ca
1482b1d367b
154ac574b86
hex2d146c69d

12101011101 has 6 divisors (see below), whose sum is σ = 17479238270. Its totient is φ = 8067340728.

The previous prime is 12101011081. The next prime is 12101011147. The reversal of 12101011101 is 10111010121.

12101011101 is digitally balanced in base 2, 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 only one way, i.e., 10014805476 + 2086205625 = 100074^2 + 45675^2 .

It is not a de Polignac number, because 12101011101 - 231 = 9953527453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1344556789 = 12101011101 / (1 + 2 + 1 + 0 + 1 + 0 + 1 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101011151) 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 5 ways as a sum of consecutive naturals, for example, 672278386 + ... + 672278403.

Almost surely, 212101011101 is an apocalyptic number.

It is an amenable number.

12101011101 is a deficient number, since it is larger than the sum of its proper divisors (5378227169).

12101011101 is a wasteful number, since it uses less digits than its factorization.

12101011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344556795 (or 1344556792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12101011101 its reverse (10111010121), we get a palindrome (22212021222).

The spelling of 12101011101 in words is "twelve billion, one hundred one million, eleven thousand, one hundred one".

Divisors: 1 3 9 1344556789 4033670367 12101011101