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132713241063 = 31317264718199
BaseRepresentation
bin111101110011001010…
…0110101100111100111
3110200120000101011122120
41323212110311213213
54133244042203223
6140545001201023
712405520636104
oct1734624654747
9420500334576
10132713241063
115131318a317
1221879490173
13c690046110
1465cd987aab
1536bb161be3
hex1ee65359e7

132713241063 has 48 divisors (see below), whose sum is σ = 202755571200. Its totient is φ = 76742567424.

The previous prime is 132713241041. The next prime is 132713241119. The reversal of 132713241063 is 360142317231.

It is a happy number.

It is not a de Polignac number, because 132713241063 - 213 = 132713232871 is a prime.

It is a super-2 number, since 2×1327132410632 (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 (132713241163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7283238 + ... + 7301436.

It is an arithmetic number, because the mean of its divisors is an integer number (4224074400).

Almost surely, 2132713241063 is an apocalyptic number.

132713241063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132713241063 is a deficient number, since it is larger than the sum of its proper divisors (70042330137).

132713241063 is a wasteful number, since it uses less digits than its factorization.

132713241063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18896 (or 18879 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 132713241063 its reverse (360142317231), we get a palindrome (492855558294).

The spelling of 132713241063 in words is "one hundred thirty-two billion, seven hundred thirteen million, two hundred forty-one thousand, sixty-three".

Divisors: 1 3 13 17 39 51 221 289 647 663 867 1941 3757 8411 10999 11271 18199 25233 32997 54597 142987 186983 236587 309383 428961 560949 709761 928149 2430779 4021979 5259511 7292337 11774753 12065937 15778533 35324259 68373643 153071789 200170801 205120929 459215367 600512403 2602220413 3402903617 7806661239 10208710851 44237747021 132713241063