Search a number
-
+
13012201200 = 24352172113023
BaseRepresentation
bin11000001111001011…
…00110111011110000
31020120211202022100210
430013211212323300
5203122110414300
65551104344120
7640311612435
oct140745467360
936524668323
1013012201200
115578059399
122631915040
1312c4a8444b
148b6223b8c
15512562050
hex307966ef0

13012201200 has 240 divisors, whose sum is σ = 44358160896. Its totient is φ = 3249254400.

The previous prime is 13012201193. The next prime is 13012201207. The reversal of 13012201200 is 210221031.

It is an interprime number because it is at equal distance from previous prime (13012201193) and next prime (13012201207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012201207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4302889 + ... + 4305911.

Almost surely, 213012201200 is an apocalyptic number.

13012201200 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 13012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179080448).

13012201200 is an abundant number, since it is smaller than the sum of its proper divisors (31345959696).

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

13012201200 is a wasteful number, since it uses less digits than its factorization.

13012201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13012201200 its reverse (210221031), we get a palindrome (13222422231).

The spelling of 13012201200 in words is "thirteen billion, twelve million, two hundred one thousand, two hundred".