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132122331341 = 72111318855763
BaseRepresentation
bin111101100001100011…
…0101100100011001101
3110122000211110211220022
41323003012230203031
54131041304100331
6140410212031525
712355054200200
oct1730306544315
9418024424808
10132122331341
115103a680080
12217336025a5
13c5c77b0cb0
1465752c9937
15368433c67b
hex1ec31ac8cd

132122331341 has 24 divisors (see below), whose sum is σ = 180562796064. Its totient is φ = 95033040480.

The previous prime is 132122331293. The next prime is 132122331443. The reversal of 132122331341 is 143133221231.

It is a happy number.

It is not a de Polignac number, because 132122331341 - 214 = 132122314957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132122331341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122331041) 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 23 ways as a sum of consecutive naturals, for example, 9420875 + ... + 9434888.

It is an arithmetic number, because the mean of its divisors is an integer number (7523449836).

Almost surely, 2132122331341 is an apocalyptic number.

132122331341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132122331341 is a deficient number, since it is larger than the sum of its proper divisors (48440464723).

132122331341 is a wasteful number, since it uses less digits than its factorization.

132122331341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18855801 (or 18855794 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 132122331341 its reverse (143133221231), we get a palindrome (275255552572).

The spelling of 132122331341 in words is "one hundred thirty-two billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 18855763 131990341 207413393 245124919 923932387 1451893751 1715874433 2696374109 10163256257 12011121031 18874618763 132122331341