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112231040132211 = 37112133397543067
BaseRepresentation
bin11001100001001011010011…
…010001111010010001110011
3112201101011221011011102002220
4121201023103101322101303
5104202243132233212321
61034410121132412123
732432265540660120
oct3141132321722163
9481334834142086
10112231040132211
113283aa0a32aa00
1210707164317043
134a81459868a20
141da0023113747
15ce95c0c4a9c6
hex6612d347a473

112231040132211 has 48 divisors (see below), whose sum is σ = 202439206163712. Its totient is φ = 53817082165440.

The previous prime is 112231040132129. The next prime is 112231040132243.

112231040132211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112231040132211 - 213 = 112231040124019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112231040132711) 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 47 ways as a sum of consecutive naturals, for example, 1698738501 + ... + 1698804566.

It is an arithmetic number, because the mean of its divisors is an integer number (4217483461744).

Almost surely, 2112231040132211 is an apocalyptic number.

112231040132211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112231040132211 is a deficient number, since it is larger than the sum of its proper divisors (90208166031501).

112231040132211 is a wasteful number, since it uses less digits than its factorization.

112231040132211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397543112 (or 3397543101 counting only the distinct ones).

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

The spelling of 112231040132211 in words is "one hundred twelve trillion, two hundred thirty-one billion, forty million, one hundred thirty-two thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 3397543067 10192629201 23782801469 37372973737 44168059871 71348404407 112118921211 132504179613 261610816159 309176419097 411102711107 485848658581 784832448477 927529257291 1233308133321 1457545975743 2877718977749 3400940610067 5344335244391 8633156933247 10202821830201 16033005733173 37410346710737 112231040132211