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132122131011011 = 3759612383416359
BaseRepresentation
bin11110000010101000010100…
…101011111001010111000011
3122022210202022110220022210002
4132002220110223321113003
5114304142111014323021
61145000022530230215
736554336400525161
oct3602502453712703
9568722273808702
10132122131011011
11391097545a2259
121299a1a242536b
1358950a965b97b
14248aa60dd4231
151041bee66c50b
hex782a14af95c3

132122131011011 has 32 divisors (see below), whose sum is σ = 140314252646400. Its totient is φ = 124248288631680.

The previous prime is 132122131010993. The next prime is 132122131011049. The reversal of 132122131011011 is 110110131221231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132122131011011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132122131011911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317119250 + ... + 317535608.

It is an arithmetic number, because the mean of its divisors is an integer number (4384820395200).

Almost surely, 2132122131011011 is an apocalyptic number.

132122131011011 is a deficient number, since it is larger than the sum of its proper divisors (8192121635389).

132122131011011 is a wasteful number, since it uses less digits than its factorization.

132122131011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418899.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 132122131011011 its reverse (110110131221231), we get a palindrome (242232262232242).

The spelling of 132122131011011 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred thirty-one million, eleven thousand, eleven".

Divisors: 1 37 59 61 2183 2257 2383 3599 88171 133163 140597 145363 416359 5202089 5378431 8576417 15405283 24565181 25397899 317327429 908911697 939722263 992183497 1498476041 36710789389 55443613517 58538826323 60523193317 2165936573951 2239358152729 3570868405703 132122131011011