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132000030013 = 881972115413
BaseRepresentation
bin111101011101111010…
…0001001110100111101
3110121201022100022000111
41322323310021310331
54130314001430023
6140350122430021
712352040512435
oct1727364116475
9417638308014
10132000030013
1150a876372a5
12216ba662311
13c5a835c747
146562d712c5
15367873000d
hex1ebbd09d3d

132000030013 has 8 divisors (see below), whose sum is σ = 132172028856. Its totient is φ = 131828083200.

The previous prime is 132000030011. The next prime is 132000030031. The reversal of 132000030013 is 310030000231.

It can be written as a sum of positive squares in 4 ways, for example, as 1554094084 + 130445935929 = 39422^2 + 361173^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132000030013 - 21 = 132000030011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132000029975 and 132000030002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000030011) 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 7 ways as a sum of consecutive naturals, for example, 8556495 + ... + 8571907.

It is an arithmetic number, because the mean of its divisors is an integer number (16521503607).

Almost surely, 2132000030013 is an apocalyptic number.

It is an amenable number.

132000030013 is a deficient number, since it is larger than the sum of its proper divisors (171998843).

132000030013 is an equidigital number, since it uses as much as digits as its factorization.

132000030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26015.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 132000030013 its reverse (310030000231), we get a palindrome (442030030244).

The spelling of 132000030013 in words is "one hundred thirty-two billion, thirty thousand, thirteen".

Divisors: 1 881 9721 15413 8564201 13578853 149829773 132000030013