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2112001101 = 33711174609
BaseRepresentation
bin111110111100010…
…1001010001001101
312110012002202212000
41331320221101031
513311133013401
6545323302513
7103223466420
oct17570512115
95405082760
102112001101
11994195761
124ab37aa39
132787304c2
141606d19b7
15c5638186
hex7de2944d

2112001101 has 16 divisors (see below), whose sum is σ = 3575875200. Its totient is φ = 1206857664.

The previous prime is 2112001043. The next prime is 2112001117. The reversal of 2112001101 is 1011002112.

It is a happy number.

It is not a de Polignac number, because 2112001101 - 211 = 2111999053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112001121) 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 15 ways as a sum of consecutive naturals, for example, 5587116 + ... + 5587493.

It is an arithmetic number, because the mean of its divisors is an integer number (223492200).

Almost surely, 22112001101 is an apocalyptic number.

2112001101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112001101 is a deficient number, since it is larger than the sum of its proper divisors (1463874099).

2112001101 is a wasteful number, since it uses less digits than its factorization.

2112001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174625 (or 11174619 counting only the distinct ones).

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

The square root of 2112001101 is about 45956.5131510214. The cubic root of 2112001101 is about 1283.0139549462.

Adding to 2112001101 its reverse (1011002112), we get a palindrome (3123003213).

The spelling of 2112001101 in words is "two billion, one hundred twelve million, one thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 189 11174609 33523827 78222263 100571481 234666789 301714443 704000367 2112001101