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132100324300100 = 225213101615634077
BaseRepresentation
bin11110000010010100000000…
…111001111001010101000100
3122022201200000201201122002102
4132002110000321321111010
5114303312431010100400
61144542015020531232
736552635116533422
oct3602240071712504
9568650021648072
10132100324300100
1139100484245622
1212995b173b0b18
135893012884530
142489992baa112
151041374ebe9d5
hex782500e79544

132100324300100 has 36 divisors (see below), whose sum is σ = 308708296328964. Its totient is φ = 48775504356480.

The previous prime is 132100324300057. The next prime is 132100324300129. The reversal of 132100324300100 is 1003423001231.

It can be written as a sum of positive squares in 6 ways, for example, as 47281823887684 + 84818500412416 = 6876178^2 + 9209696^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 50807815739 + ... + 50807818338.

Almost surely, 2132100324300100 is an apocalyptic number.

132100324300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100324300100 is an abundant number, since it is smaller than the sum of its proper divisors (176607972028864).

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

132100324300100 is a wasteful number, since it uses less digits than its factorization.

132100324300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101615634104 (or 101615634097 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132100324300100 its reverse (1003423001231), we get a palindrome (133103747301331).

The spelling of 132100324300100 in words is "one hundred thirty-two trillion, one hundred billion, three hundred twenty-four million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 101615634077 203231268154 406462536308 508078170385 1016156340770 1321003243001 2032312681540 2540390851925 2642006486002 5080781703850 5284012972004 6605016215005 10161563407700 13210032430010 26420064860020 33025081075025 66050162150050 132100324300100