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113022220311 = 327111337339067
BaseRepresentation
bin110100101000010100…
…1100011100000010111
3101210201201020200020200
41221100221203200113
53322432142022221
6123531030231543
711110540010250
oct1512051434027
9353651220220
10113022220311
1143a29107a50
1219aa2ab55b3
13a872691350
145682731b27
152e175ca426
hex1a50a63817

113022220311 has 96 divisors (see below), whose sum is σ = 225119451648. Its totient is φ = 52731544320.

The previous prime is 113022220307. The next prime is 113022220321.

113022220311 is a `hidden beast` number, since 1 + 130 + 2 + 2 + 220 + 311 = 666.

113022220311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113022220311 - 22 = 113022220307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022220301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163800 + ... + 502866.

It is an arithmetic number, because the mean of its divisors is an integer number (2344994288).

Almost surely, 2113022220311 is an apocalyptic number.

113022220311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113022220311 is a deficient number, since it is larger than the sum of its proper divisors (112097231337).

113022220311 is a wasteful number, since it uses less digits than its factorization.

113022220311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339141 (or 339138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 113022 and 220311, that added together give a palindrome (333333).

The spelling of 113022220311 in words is "one hundred thirteen billion, twenty-two million, two hundred twenty thousand, three hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 111111 333333 339067 1017201 2373469 3051603 3729737 4407871 7120407 11189211 12545479 13223613 21361221 26108159 30855097 33567633 37636437 39670839 48486581 78324477 87818353 92565291 112909311 138000269 145459743 163091227 234973431 263455059 277695873 339406067 414000807 436379229 489273681 790365177 966001883 1018218201 1141638589 1242002421 1467821043 1794003497 2898005649 3054654603 3424915767 5382010491 8694016947 10274747301 12558024479 16146031473 37674073437 113022220311