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107014565127 = 31947190121013
BaseRepresentation
bin110001110101010010…
…0001010110100000111
3101020020000210011122010
41203222210022310013
53223131212041002
6121054541305303
710505630536461
oct1435244126407
9336200704563
10107014565127
1141425a28768
12188a6b65233
13a125b450b2
1452728cd131
152bb4e7e46c
hex18ea90ad07

107014565127 has 32 divisors (see below), whose sum is σ = 153479531520. Its totient is φ = 66112156800.

The previous prime is 107014565101. The next prime is 107014565129. The reversal of 107014565127 is 721565410701.

It is not a de Polignac number, because 107014565127 - 27 = 107014564999 is a prime.

It is a super-2 number, since 2×1070145651272 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107014565129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5082273 + ... + 5103285.

It is an arithmetic number, because the mean of its divisors is an integer number (4796235360).

Almost surely, 2107014565127 is an apocalyptic number.

107014565127 is a deficient number, since it is larger than the sum of its proper divisors (46464966393).

107014565127 is a wasteful number, since it uses less digits than its factorization.

107014565127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22983.

The product of its (nonzero) digits is 58800, while the sum is 39.

Adding to 107014565127 its reverse (721565410701), we get a palindrome (828579975828).

The spelling of 107014565127 in words is "one hundred seven billion, fourteen million, five hundred sixty-five thousand, one hundred twenty-seven".

Divisors: 1 3 19 47 57 141 893 1901 2679 5703 21013 36119 63039 89347 108357 268041 399247 987611 1197741 1697593 2962833 5092779 18764609 39945713 56293827 119837139 758968547 1877448511 2276905641 5632345533 35671521709 107014565127