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127314117 = 32719314773
BaseRepresentation
bin1111001011010…
…10100011000101
322212120020010200
413211222203011
5230043022432
620344441113
73104103120
oct745524305
9285506120
10127314117
1165957a87
1236779199
13204b80c8
1412ca13b7
15b29ca7c
hex796a8c5

127314117 has 96 divisors (see below), whose sum is σ = 236421120. Its totient is φ = 64385280.

The previous prime is 127314101. The next prime is 127314127. The reversal of 127314117 is 711413721.

It is not a de Polignac number, because 127314117 - 24 = 127314101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127314127) 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, 1743993 + ... + 1744065.

It is an arithmetic number, because the mean of its divisors is an integer number (2462720).

Almost surely, 2127314117 is an apocalyptic number.

It is an amenable number.

127314117 is a deficient number, since it is larger than the sum of its proper divisors (109107003).

127314117 is a wasteful number, since it uses less digits than its factorization.

127314117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 127314117 is about 11283.3557508394. The cubic root of 127314117 is about 503.0666422906.

Adding to 127314117 its reverse (711413721), we get a palindrome (838727838).

The spelling of 127314117 in words is "one hundred twenty-seven million, three hundred fourteen thousand, one hundred seventeen".

Divisors: 1 3 7 9 19 21 31 47 57 63 73 93 133 141 171 217 219 279 329 399 423 511 589 651 657 893 987 1197 1387 1457 1533 1767 1953 2263 2679 2961 3431 4123 4161 4371 4599 5301 6251 6789 8037 9709 10199 10293 12369 12483 13113 15841 18753 20367 24017 27683 29127 30597 30879 37107 42997 47523 56259 65189 72051 83049 87381 91791 106361 128991 142569 193781 195567 216153 249147 300979 319083 386973 456323 581343 586701 744527 902937 957249 1368969 1744029 2020859 2233581 2708811 4106907 6062577 6700743 14146013 18187731 42438039 127314117