Search a number
-
+
13231001013120 = 27365112578057
BaseRepresentation
bin1100000010001001010100…
…0111011000101110000000
31201211212112012122212000000
43000202111013120232000
53213234042224404440
644050123222000000
72533623352665012
oct300422507305600
951755465585000
1013231001013120
11424126615a9a0
12159830b576000
1374c8a7872a27
1433a5534841b2
1517e27e566730
hexc08951d8b80

13231001013120 has 448 divisors, whose sum is σ = 51735127353840. Its totient is φ = 3207514152960.

The previous prime is 13231001013119. The next prime is 13231001013143. The reversal of 13231001013120 is 2131010013231.

13231001013120 is a `hidden beast` number, since 1 + 32 + 310 + 0 + 10 + 1 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13231001013093 and 13231001013102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3843132 + ... + 6421188.

Almost surely, 213231001013120 is an apocalyptic number.

13231001013120 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 13231001013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25867563676920).

13231001013120 is an abundant number, since it is smaller than the sum of its proper divisors (38504126340720).

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

13231001013120 is an equidigital number, since it uses as much as digits as its factorization.

13231001013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578105 (or 2578078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13231001013120 its reverse (2131010013231), we get a palindrome (15362011026351).

The spelling of 13231001013120 in words is "thirteen trillion, two hundred thirty-one billion, one million, thirteen thousand, one hundred twenty".