Search a number
-
+
13187050110000 = 2432541317662999
BaseRepresentation
bin1011111111100101100101…
…1011111111110000110000
31201200200002012021122022100
42333321121123333300300
53212024034312010000
644014014105340400
72530506252324144
oct277713133776060
951620065248270
1013187050110000
114224662001968
12158b8a4497700
137486c20cc090
143383842a3224
1517d05aca6a00
hexbfe596ffc30

13187050110000 has 600 divisors, whose sum is σ = 52586001468000. Its totient is φ = 3055094784000.

The previous prime is 13187050109999. The next prime is 13187050110019. The reversal of 13187050110000 is 1105078131.

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19558501 + ... + 20221499.

It is an arithmetic number, because the mean of its divisors is an integer number (87643335780).

Almost surely, 213187050110000 is an apocalyptic number.

13187050110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13187050110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293000734000).

13187050110000 is an abundant number, since it is smaller than the sum of its proper divisors (39398951358000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13187050110000 is a wasteful number, since it uses less digits than its factorization.

13187050110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663063 (or 663039 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 13187050110000 its reverse (1105078131), we get a palindrome (13188155188131).

The spelling of 13187050110000 in words is "thirteen trillion, one hundred eighty-seven billion, fifty million, one hundred ten thousand".