Search a number
-
+
13232110420320 = 25351145718892903
BaseRepresentation
bin1100000010001101011100…
…1111011100000101100000
31201211222101112012120120120
43000203113033130011200
53213243330231422240
644050425252240240
72533663013541231
oct300432717340540
951758345176516
1013232110420320
11424178540aa50
12159857b010080
1374ca236684ac
1433a61a951088
1517e2e6b59ad0
hexc08d73dc160

13232110420320 has 384 divisors, whose sum is σ = 45609670149120. Its totient is φ = 3197968711680.

The previous prime is 13232110420297. The next prime is 13232110420337. The reversal of 13232110420320 is 2302401123231.

It is a super-2 number, since 2×132321104203202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4558079989 + ... + 4558082891.

It is an arithmetic number, because the mean of its divisors is an integer number (118775182680).

Almost surely, 213232110420320 is an apocalyptic number.

13232110420320 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 13232110420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804835074560).

13232110420320 is an abundant number, since it is smaller than the sum of its proper divisors (32377559728800).

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

13232110420320 is a wasteful number, since it uses less digits than its factorization.

13232110420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13232110420320 its reverse (2302401123231), we get a palindrome (15534511543551).

The spelling of 13232110420320 in words is "thirteen trillion, two hundred thirty-two billion, one hundred ten million, four hundred twenty thousand, three hundred twenty".