Search a number
-
+
132310023313200 = 24352110258352761
BaseRepresentation
bin11110000101010111010011…
…111100001001011100110000
3122100110201022000102020022020
4132011113103330021130300
5114320231411432010300
61145222215142311440
736604040501662515
oct3605272374113460
9570421260366266
10132310023313200
1139181402932927
1212a0a69b128580
1358a9a21408ac5
142495ba706130c
151046a49b9a8a0
hex7855d3f09730

132310023313200 has 60 divisors (see below), whose sum is σ = 423833108017128. Its totient is φ = 35282672883200.

The previous prime is 132310023313129. The next prime is 132310023313207. The reversal of 132310023313200 is 2313320013231.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (132310023313207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55129175181 + ... + 55129177580.

Almost surely, 2132310023313200 is an apocalyptic number.

132310023313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132310023313200 is an abundant number, since it is smaller than the sum of its proper divisors (291523084703928).

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

132310023313200 is a wasteful number, since it uses less digits than its factorization.

132310023313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110258352782 (or 110258352771 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132310023313200 its reverse (2313320013231), we get a palindrome (134623343326431).

The spelling of 132310023313200 in words is "one hundred thirty-two trillion, three hundred ten billion, twenty-three million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 110258352761 220516705522 330775058283 441033411044 551291763805 661550116566 882066822088 1102583527610 1323100233132 1653875291415 1764133644176 2205167055220 2646200466264 2756458819025 3307750582830 4410334110440 5292400932528 5512917638050 6615501165660 8269376457075 8820668220880 11025835276100 13231002331320 16538752914150 22051670552200 26462004662640 33077505828300 44103341104400 66155011656600 132310023313200