Search a number
-
+
13320043200 = 263252941983
BaseRepresentation
bin11000110011110111…
…11011101011000000
31021101022000022012100
430121323323223000
5204234412340300
610041422430400
7651040333122
oct143173735300
937338008170
1013320043200
1157158a9672
1226b8a32400
131343799789
14905079212
1552e5be700
hex319efbac0

13320043200 has 252 divisors, whose sum is σ = 47441101968. Its totient is φ = 3544627200.

The previous prime is 13320043193. The next prime is 13320043207. The reversal of 13320043200 is 234002331.

13320043200 is a `hidden beast` number, since 1 + 33 + 200 + 432 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13320043193) and next prime (13320043207).

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

It is not an unprimeable number, because it can be changed into a prime (13320043207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13549909 + ... + 13550891.

Almost surely, 213320043200 is an apocalyptic number.

13320043200 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 13320043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23720550984).

13320043200 is an abundant number, since it is smaller than the sum of its proper divisors (34121058768).

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

13320043200 is a wasteful number, since it uses less digits than its factorization.

13320043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13320043200 its reverse (234002331), we get a palindrome (13554045531).

It can be divided in two parts, 133200 and 43200, that added together give a square (176400 = 4202).

The spelling of 13320043200 in words is "thirteen billion, three hundred twenty million, forty-three thousand, two hundred".