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11227537001107 = 747677913074933
BaseRepresentation
bin1010001101100001110101…
…0110101100101010010011
31110202100020100122221212201
42203120131112230222103
52432422443433013412
635513505335104031
72236106555605360
oct243303526545223
943670210587781
1011227537001107
113639631a32669
121313b7b512017
136359a176270b
142ab5b6923467
151470c23d9e57
hexa361d5aca93

11227537001107 has 64 divisors (see below), whose sum is σ = 13481462661120. Its totient is φ = 9151954770816.

The previous prime is 11227537001081. The next prime is 11227537001117. The reversal of 11227537001107 is 70110073572211.

It is a happy number.

11227537001107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11227537001107 - 239 = 10677781187219 is a prime.

It is a super-2 number, since 2×112275370011072 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11227537001117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2276003413 + ... + 2276008345.

It is an arithmetic number, because the mean of its divisors is an integer number (210647854080).

Almost surely, 211227537001107 is an apocalyptic number.

11227537001107 is a deficient number, since it is larger than the sum of its proper divisors (2253925660013).

11227537001107 is a wasteful number, since it uses less digits than its factorization.

11227537001107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440.

The product of its (nonzero) digits is 20580, while the sum is 37.

The spelling of 11227537001107 in words is "eleven trillion, two hundred twenty-seven billion, five hundred thirty-seven million, one thousand, one hundred seven".

Divisors: 1 7 47 67 79 329 469 553 1307 3149 3713 4933 5293 9149 22043 25991 34531 37051 61429 87569 103253 231851 248771 330511 389707 430003 612983 722771 1622957 1741397 2313577 2727949 4115743 4852891 6447431 6917951 15534017 18316229 26110369 28810201 33970237 45132017 48425657 108738119 128213603 182772583 303029257 325143697 431977877 509347049 1227187343 2121204799 2276005879 3023845139 3565429343 8590311401 20302960219 23939311303 34126252283 142120721533 167575179121 238883765981 1603933857301 11227537001107