Search a number
-
+
13032230101200 = 24325210135842217
BaseRepresentation
bin1011110110100100110101…
…1100100010000011010000
31201010212110112010022101100
42331221031130202003100
53202010001401214300
643414531315304400
72513355545056122
oct275511534420320
951125415108340
1013032230101200
114174a35162872
1215658975ab100
13736c1b090c0b
14330a98705212
15178ee8e76700
hexbda4d7220d0

13032230101200 has 180 divisors, whose sum is σ = 45673236606348. Its totient is φ = 3440852736000.

The previous prime is 13032230101159. The next prime is 13032230101207. The reversal of 13032230101200 is 210103223031.

13032230101200 is a `hidden beast` number, since 1 + 30 + 322 + 301 + 0 + 12 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 170711101584 + 12861518999616 = 413172^2 + 3586296^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032230101207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17557509 + ... + 18284708.

Almost surely, 213032230101200 is an apocalyptic number.

13032230101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032230101200 is an abundant number, since it is smaller than the sum of its proper divisors (32641006505148).

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

13032230101200 is a wasteful number, since it uses less digits than its factorization.

13032230101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35842342 (or 35842328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13032230101200 its reverse (210103223031), we get a palindrome (13242333324231).

The spelling of 13032230101200 in words is "thirteen trillion, thirty-two billion, two hundred thirty million, one hundred one thousand, two hundred".