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132253525041 = 3114007682577
BaseRepresentation
bin111101100101011101…
…1001010010000110001
3110122100222100011211020
41323022323022100301
54131323400300131
6140431220010053
712361236262131
oct1731273122061
9418328304736
10132253525041
11510a7737920
122176b530929
13c618a26bc1
1465888baac1
153690b04996
hex1ecaeca431

132253525041 has 8 divisors (see below), whose sum is σ = 192368763744. Its totient is φ = 80153651520.

The previous prime is 132253525013. The next prime is 132253525067. The reversal of 132253525041 is 140525352231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132253525041 - 214 = 132253508657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 4007682577 = 132253525041 / (1 + 3 + 2 + 2 + 5 + 3 + 5 + 2 + 5 + 0 + 4 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 132253524993 and 132253525011.

It is not an unprimeable number, because it can be changed into a prime (132253525081) 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 7 ways as a sum of consecutive naturals, for example, 2003841256 + ... + 2003841321.

It is an arithmetic number, because the mean of its divisors is an integer number (24046095468).

Almost surely, 2132253525041 is an apocalyptic number.

132253525041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132253525041 is a deficient number, since it is larger than the sum of its proper divisors (60115238703).

132253525041 is a wasteful number, since it uses less digits than its factorization.

132253525041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007682591.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 132253525041 its reverse (140525352231), we get a palindrome (272778877272).

The spelling of 132253525041 in words is "one hundred thirty-two billion, two hundred fifty-three million, five hundred twenty-five thousand, forty-one".

Divisors: 1 3 11 33 4007682577 12023047731 44084508347 132253525041