Search a number
-
+
132130103131121 = 172835939927497
BaseRepresentation
bin11110000010101111101111…
…110111000111101111110001
3122022211111220001211222122212
4132002233233313013233301
5114304304422400143441
61145003421552341505
736555041062446644
oct3602575767075761
9568744801758585
10132130103131121
1139112075658077
121299b848244895
135895a7a18cac4
14248b1b9ac1a5b
1510420194abeeb
hex782befdc7bf1

132130103131121 has 24 divisors (see below), whose sum is σ = 142074811438560. Its totient is φ = 122838638715392.

The previous prime is 132130103131069. The next prime is 132130103131153. The reversal of 132130103131121 is 121131301031231.

It is a de Polignac number, because none of the positive numbers 2k-132130103131121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132130103131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141995045 + ... + 142922541.

It is an arithmetic number, because the mean of its divisors is an integer number (5919783809940).

Almost surely, 2132130103131121 is an apocalyptic number.

It is an amenable number.

132130103131121 is a deficient number, since it is larger than the sum of its proper divisors (9944708307439).

132130103131121 is an equidigital number, since it uses as much as digits as its factorization.

132130103131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933553 (or 933536 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 132130103131121 its reverse (121131301031231), we get a palindrome (253261404162352).

The spelling of 132130103131121 in words is "one hundred thirty-two trillion, one hundred thirty billion, one hundred three million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 17 83 289 1411 5939 23987 100963 492937 927497 1716371 8379929 15767449 76982251 142458793 268046633 1308698267 5508404683 22247870539 93642879611 457197588689 1591928953387 7772359007713 132130103131121