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132120351200 = 2552165150439
BaseRepresentation
bin111101100001011111…
…1001001000111100000
3110122000200202020122202
41323002333021013200
54131040302214300
6140410101352332
712355031312165
oct1730277110740
9418020666582
10132120351200
11510395483a2
1221732a086a8
13c5c7269906
146574d3206c
15368409aad5
hex1ec2fc91e0

132120351200 has 36 divisors (see below), whose sum is σ = 322538809320. Its totient is φ = 52848140160.

The previous prime is 132120351199. The next prime is 132120351317. The reversal of 132120351200 is 2153021231.

It is a super-2 number, since 2×1321203512002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 82574420 + ... + 82576019.

It is an arithmetic number, because the mean of its divisors is an integer number (8959411370).

Almost surely, 2132120351200 is an apocalyptic number.

132120351200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120351200 is an abundant number, since it is smaller than the sum of its proper divisors (190418458120).

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

132120351200 is a wasteful number, since it uses less digits than its factorization.

132120351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165150459 (or 165150446 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 132120351200 its reverse (2153021231), we get a palindrome (134273372431).

The spelling of 132120351200 in words is "one hundred thirty-two billion, one hundred twenty million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 165150439 330300878 660601756 825752195 1321203512 1651504390 2642407024 3303008780 4128760975 5284814048 6606017560 8257521950 13212035120 16515043900 26424070240 33030087800 66060175600 132120351200