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112023141320211 = 3112909133946067
BaseRepresentation
bin11001011110001001101011…
…100010111000011000010011
3112200122022022022212111112220
4121132021223202320120103
5104140341343134221321
61034130415355352123
732411255605143522
oct3136115342703023
9480568268774486
10112023141320211
113276a824924400
1210692a03452643
134a67976c74bc4
141d93d3dd884b9
15ce3ea41179c6
hex65e26b8b8613

112023141320211 has 24 divisors (see below), whose sum is σ = 164195229936192. Its totient is φ = 67885342786800.

The previous prime is 112023141320201. The next prime is 112023141320243.

112023141320211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112023141320211 - 211 = 112023141318163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112023141320201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13673001 + ... + 20273066.

It is an arithmetic number, because the mean of its divisors is an integer number (6841467914008).

Almost surely, 2112023141320211 is an apocalyptic number.

112023141320211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112023141320211 is a deficient number, since it is larger than the sum of its proper divisors (52172088615981).

112023141320211 is a wasteful number, since it uses less digits than its factorization.

112023141320211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33955183 (or 33955172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 11202 and 3141320211, that added together give a palindrome (3141331413).

The spelling of 112023141320211 in words is "one hundred twelve trillion, twenty-three billion, one hundred forty-one million, three hundred twenty thousand, two hundred eleven".

Divisors: 1 3 11 33 121 363 9091 27273 100001 300003 1100011 3300033 33946067 101838201 373406737 1120220211 4107474107 12322422321 308603695097 925811085291 3394640646067 10183921938201 37341047106737 112023141320211