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132313331200 = 295210336979
BaseRepresentation
bin111101100111001111…
…1010011011000000000
3110122112010212122110011
41323032133103120000
54131434203044300
6140441153514304
712362563521121
oct1731637233000
9418463778404
10132313331200
11511284760a6
1221787572994
13c62823686b
146592808048
153695eb9eba
hex1ece7d3600

132313331200 has 60 divisors (see below), whose sum is σ = 327816646740. Its totient is φ = 52925327360.

The previous prime is 132313331123. The next prime is 132313331201. The reversal of 132313331200 is 2133313231.

It is a super-2 number, since 2×1323133312002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313331201) 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 5 ways as a sum of consecutive naturals, for example, 5155690 + ... + 5181289.

It is an arithmetic number, because the mean of its divisors is an integer number (5463610779).

Almost surely, 2132313331200 is an apocalyptic number.

132313331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132313331200 is an abundant number, since it is smaller than the sum of its proper divisors (195503315540).

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

132313331200 is an equidigital number, since it uses as much as digits as its factorization.

132313331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337007 (or 10336986 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 132313331200 its reverse (2133313231), we get a palindrome (134446644431).

The spelling of 132313331200 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 10336979 20673958 41347916 51684895 82695832 103369790 165391664 206739580 258424475 330783328 413479160 516848950 661566656 826958320 1033697900 1323133312 1653916640 2067395800 2646266624 3307833280 4134791600 5292533248 6615666560 8269583200 13231333120 16539166400 26462666240 33078332800 66156665600 132313331200