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132410041220 = 2256620502061
BaseRepresentation
bin111101101010001000…
…0001110001110000100
3110122202212212000122202
41323110100032032010
54132133432304340
6140454530414032
712365146531412
oct1732420161604
9418685760582
10132410041220
115117801a836
12217b3a31318
13c642297a22
1465a15c02b2
15369e71ec15
hex1ed440e384

132410041220 has 12 divisors (see below), whose sum is σ = 278061086604. Its totient is φ = 52964016480.

The previous prime is 132410041219. The next prime is 132410041249. The reversal of 132410041220 is 22140014231.

It can be written as a sum of positive squares in 2 ways, for example, as 85414738564 + 46995302656 = 292258^2 + 216784^2 .

It is a super-4 number, since 4×1324100412204 (a number of 46 digits) contains 4444 as substring.

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: 6620502061 = 132410041220 / (1 + 3 + 2 + 4 + 1 + 0 + 0 + 4 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 132410041192 and 132410041201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3310251011 + ... + 3310251050.

It is an arithmetic number, because the mean of its divisors is an integer number (23171757217).

Almost surely, 2132410041220 is an apocalyptic number.

132410041220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132410041220 is an abundant number, since it is smaller than the sum of its proper divisors (145651045384).

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

132410041220 is a wasteful number, since it uses less digits than its factorization.

132410041220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620502070 (or 6620502068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132410041220 its reverse (22140014231), we get a palindrome (154550055451).

The spelling of 132410041220 in words is "one hundred thirty-two billion, four hundred ten million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6620502061 13241004122 26482008244 33102510305 66205020610 132410041220