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132123440331121 = 3726891327967197
BaseRepresentation
bin11110000010101001100010…
…101110100011100101110001
3122022210212200201121200022111
4132002221202232203211301
5114304202301211043441
61145000400501405321
736554414006544031
oct3602514256434561
9568725621550274
10132123440331121
113910a266685898
121299a4a8a09841
1358952579aabb5
14248ab46c5d8c1
151041c7959e081
hex782a62ba3971

132123440331121 has 8 divisors (see below), whose sum is σ = 135744806979560. Its totient is φ = 128504729622528.

The previous prime is 132123440331101. The next prime is 132123440331131. The reversal of 132123440331121 is 121133044321231.

It can be written as a sum of positive squares in 4 ways, for example, as 39399925548096 + 92723514783025 = 6276936^2 + 9629305^2 .

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 132123440331121 - 219 = 132123439806833 is a prime.

It is a super-2 number, since 2×1321234403311212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132123440331101) 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, 663884106 + ... + 664083091.

It is an arithmetic number, because the mean of its divisors is an integer number (16968100872445).

Almost surely, 2132123440331121 is an apocalyptic number.

It is an amenable number.

132123440331121 is a deficient number, since it is larger than the sum of its proper divisors (3621366648439).

132123440331121 is a wasteful number, since it uses less digits than its factorization.

132123440331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327969923.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 132123440331121 its reverse (121133044321231), we get a palindrome (253256484652352).

The spelling of 132123440331121 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, four hundred forty million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 37 2689 99493 1327967197 49134786289 3570903792733 132123440331121