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127106370027 = 32713461336653
BaseRepresentation
bin111011001100000100…
…0010100100111101011
3110011002021001121112100
41312120020110213223
54040303212320102
6134220350344443
712116546214240
oct1663010244753
9404067047470
10127106370027
11499a62610aa
12207737bb123
13bca8554350
14621b0715c7
15348dcd1a1c
hex1d982149eb

127106370027 has 48 divisors (see below), whose sum is σ = 226457719488. Its totient is φ = 66899485440.

The previous prime is 127106369977. The next prime is 127106370059. The reversal of 127106370027 is 720073601721.

127106370027 is a `hidden beast` number, since 1 + 2 + 7 + 10 + 637 + 0 + 0 + 2 + 7 = 666.

It is not a de Polignac number, because 127106370027 - 212 = 127106365931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127106369973 and 127106370000.

It is not an unprimeable number, because it can be changed into a prime (127106370227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209233 + ... + 545885.

It is an arithmetic number, because the mean of its divisors is an integer number (4717869156).

Almost surely, 2127106370027 is an apocalyptic number.

127106370027 is a deficient number, since it is larger than the sum of its proper divisors (99351349461).

127106370027 is a wasteful number, since it uses less digits than its factorization.

127106370027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337140 (or 337137 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

Adding to 127106370027 its reverse (720073601721), we get a palindrome (847179971748).

The spelling of 127106370027 in words is "one hundred twenty-seven billion, one hundred six million, three hundred seventy thousand, twenty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 461 819 1383 3227 4149 5993 9681 17979 29043 41951 53937 125853 336653 377559 1009959 2356571 3029877 4376489 7069713 13129467 21209139 30635423 39388401 91906269 155197033 275718807 465591099 1086379231 1396773297 2017561429 3259137693 6052684287 9777413079 14122930003 18158052861 42368790009 127106370027