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132101441441 is a prime number
BaseRepresentation
bin111101100000111011…
…1000000011110100001
3110121222101011112100022
41323001313000132201
54131020432111231
6140404144203225
712354411503534
oct1730167003641
9417871145308
10132101441441
11510299021a2
1221728609515
13c5c33787c8
14657260ca1b
1536825b2c7b
hex1ec1dc07a1

132101441441 has 2 divisors, whose sum is σ = 132101441442. Its totient is φ = 132101441440.

The previous prime is 132101441429. The next prime is 132101441467. The reversal of 132101441441 is 144144101231.

It is a happy number.

It is an a-pointer prime, because the next prime (132101441467) can be obtained adding 132101441441 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129528010000 + 2573431441 = 359900^2 + 50729^2 .

It is a cyclic number.

It is not a de Polignac number, because 132101441441 - 210 = 132101440417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132101441441.

It is not a weakly prime, because it can be changed into another prime (132101440441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66050720720 + 66050720721.

It is an arithmetic number, because the mean of its divisors is an integer number (66050720721).

Almost surely, 2132101441441 is an apocalyptic number.

It is an amenable number.

132101441441 is a deficient number, since it is larger than the sum of its proper divisors (1).

132101441441 is an equidigital number, since it uses as much as digits as its factorization.

132101441441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 132101441441 its reverse (144144101231), we get a palindrome (276245542672).

The spelling of 132101441441 in words is "one hundred thirty-two billion, one hundred one million, four hundred forty-one thousand, four hundred forty-one".