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132122234224133 = 2912645733602749
BaseRepresentation
bin11110000010101000011010…
…110101100111111000000101
3122022210202120200010002120022
4132002220122311213320011
5114304142313430133013
61145000041054344525
736554342063032106
oct3602503265477005
9568722520102508
10132122234224133
11391097a788885a
121299a210abb145
1358950c4b58b1a
14248aa709c03ad
151041c08759008
hex782a1ad67e05

132122234224133 has 8 divisors (see below), whose sum is σ = 136678319355000. Its totient is φ = 127566158827968.

The previous prime is 132122234224121. The next prime is 132122234224163. The reversal of 132122234224133 is 331422432221231.

It can be written as a sum of positive squares in 4 ways, for example, as 6106328449 + 132116127895684 = 78143^2 + 11494178^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 132122234224133 - 28 = 132122234223877 is a prime.

It is a super-2 number, since 2×1321222342241332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132122234224093 and 132122234224102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122234224163) 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 7 ways as a sum of consecutive naturals, for example, 34871243 + ... + 38473991.

It is an arithmetic number, because the mean of its divisors is an integer number (17084789919375).

Almost surely, 2132122234224133 is an apocalyptic number.

It is an amenable number.

132122234224133 is a deficient number, since it is larger than the sum of its proper divisors (4556085130867).

132122234224133 is a wasteful number, since it uses less digits than its factorization.

132122234224133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867351.

The product of its digits is 82944, while the sum is 35.

Adding to 132122234224133 its reverse (331422432221231), we get a palindrome (463544666445364).

The spelling of 132122234224133 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, two hundred thirty-four million, two hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 29 1264573 3602749 36672617 104479721 4555939111177 132122234224133