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112527041263 = 7134013083693
BaseRepresentation
bin110100011001100100…
…0100110001011101111
3101202110012110222021221
41220303020212023233
53320423410310023
6123405541004211
711062345032460
oct1506310461357
9352405428257
10112527041263
11437a464366a
12199850b3667
13a7c3c066b0
145636a72d67
152dd8db585d
hex1a332262ef

112527041263 has 16 divisors (see below), whose sum is σ = 138840238656. Its totient is φ = 88810329600.

The previous prime is 112527041251. The next prime is 112527041317. The reversal of 112527041263 is 362140725211.

It is a cyclic number.

It is not a de Polignac number, because 112527041263 - 221 = 112524944111 is a prime.

It is a super-3 number, since 3×1125270412633 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112527041203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1505356 + ... + 1578337.

It is an arithmetic number, because the mean of its divisors is an integer number (8677514916).

Almost surely, 2112527041263 is an apocalyptic number.

112527041263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112527041263 is a deficient number, since it is larger than the sum of its proper divisors (26313197393).

112527041263 is a wasteful number, since it uses less digits than its factorization.

112527041263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084114.

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 112527041263 its reverse (362140725211), we get a palindrome (474667766474).

The spelling of 112527041263 in words is "one hundred twelve billion, five hundred twenty-seven million, forty-one thousand, two hundred sixty-three".

Divisors: 1 7 13 91 401 2807 5213 36491 3083693 21585851 40088009 280616063 1236560893 8655926251 16075291609 112527041263