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11320122221331 = 3711311157571891
BaseRepresentation
bin1010010010111010101111…
…0111010010001100010011
31111002012012210002110110020
42210232223313102030103
52440432102242040311
640024220425434523
72245565116155210
oct244565367221423
944065183073406
1011320122221331
1136749229739a0
121329aba03ba43
136416380515b1
142b1c7acd6b07
151496e06c7c06
hexa4babdd2313

11320122221331 has 32 divisors (see below), whose sum is σ = 18878373236736. Its totient is φ = 5861674308000.

The previous prime is 11320122221321. The next prime is 11320122221363. The reversal of 11320122221331 is 13312222102311.

It is not a de Polignac number, because 11320122221331 - 225 = 11320088666899 is a prime.

It is a super-2 number, since 2×113201222213312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11320122221321) 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 31 ways as a sum of consecutive naturals, for example, 78714105 + ... + 78857786.

It is an arithmetic number, because the mean of its divisors is an integer number (589949163648).

Almost surely, 211320122221331 is an apocalyptic number.

11320122221331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11320122221331 is a deficient number, since it is larger than the sum of its proper divisors (7558251015405).

11320122221331 is a wasteful number, since it uses less digits than its factorization.

11320122221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157572223.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11320122221331 its reverse (13312222102311), we get a palindrome (24632344323642).

The spelling of 11320122221331 in words is "eleven trillion, three hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 311 933 2177 3421 6531 10263 23947 71841 157571891 472715673 1103003237 1733290801 3309009711 5199872403 12133035607 36399106821 49004858101 147014574303 343034006707 539053439111 1029102020121 1617160317333 3773374073777 11320122221331