Search a number
-
+
13032301320 = 23325173767859
BaseRepresentation
bin11000010001100100…
…10010001100001000
31020122020120111112200
430020302102030020
5203142232120240
65553103240200
7640644506403
oct141062221410
936566514480
1013032301320
115588437965
1226385a9060
1312c8ca12cc
148b8b76d3a
155141d2930
hex308c92308

13032301320 has 384 divisors, whose sum is σ = 46800374400. Its totient is φ = 3131301888.

The previous prime is 13032301309. The next prime is 13032301391. The reversal of 13032301320 is 2310323031.

13032301320 is a `hidden beast` number, since 1 + 303 + 230 + 132 + 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 = 13032301293 and 13032301302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15171051 + ... + 15171909.

It is an arithmetic number, because the mean of its divisors is an integer number (121875975).

Almost surely, 213032301320 is an apocalyptic number.

13032301320 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 13032301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400187200).

13032301320 is an abundant number, since it is smaller than the sum of its proper divisors (33768073080).

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

13032301320 is a wasteful number, since it uses less digits than its factorization.

13032301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13032301320 its reverse (2310323031), we get a palindrome (15342624351).

The spelling of 13032301320 in words is "thirteen billion, thirty-two million, three hundred one thousand, three hundred twenty".