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132122113220 = 2256606105661
BaseRepresentation
bin111101100001100010…
…1110111010011000100
3110122000211001202200202
41323003011313103010
54131041230110340
6140410203230032
712355052301236
oct1730305672304
9418024052622
10132122113220
115103a541209
1221733518318
13c5c7735926
146575270256
1536842e7c15
hex1ec31774c4

132122113220 has 12 divisors (see below), whose sum is σ = 277456437804. Its totient is φ = 52848845280.

The previous prime is 132122113217. The next prime is 132122113229. The reversal of 132122113220 is 22311221231.

It can be written as a sum of positive squares in 2 ways, for example, as 78598365316 + 53523747904 = 280354^2 + 231352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6606105661 = 132122113220 / (1 + 3 + 2 + 1 + 2 + 2 + 1 + 1 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 132122113192 and 132122113201.

It is not an unprimeable number, because it can be changed into a prime (132122113229) 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 3 ways as a sum of consecutive naturals, for example, 3303052811 + ... + 3303052850.

It is an arithmetic number, because the mean of its divisors is an integer number (23121369817).

Almost surely, 2132122113220 is an apocalyptic number.

132122113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122113220 is an abundant number, since it is smaller than the sum of its proper divisors (145334324584).

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

132122113220 is a wasteful number, since it uses less digits than its factorization.

132122113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606105670 (or 6606105668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132122113220 its reverse (22311221231), we get a palindrome (154433334451).

The spelling of 132122113220 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6606105661 13212211322 26424422644 33030528305 66061056610 132122113220