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132123131012131 = 7233164312669043
BaseRepresentation
bin11110000010101001010000…
…010010100110010000100011
3122022210211220011120122102121
4132002221100102212100203
5114304201133014342011
61145000310051525111
736554403232432300
oct3602512022462043
9568724804518377
10132123131012131
113910a118016966
121299a4212b9797
1358952088994cc
14248ab17b420a7
151041c5c34de71
hex782a504a6423

132123131012131 has 24 divisors (see below), whose sum is σ = 154398348694464. Its totient is φ = 112730656001040.

The previous prime is 132123131012063. The next prime is 132123131012143. The reversal of 132123131012131 is 131210131321231.

It is not a de Polignac number, because 132123131012131 - 211 = 132123131010083 is a prime.

It is a super-2 number, since 2×1321231310121312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132123131012096 and 132123131012105.

It is not an unprimeable number, because it can be changed into a prime (132123131022131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4094296 + ... + 16763338.

It is an arithmetic number, because the mean of its divisors is an integer number (6433264528936).

Almost surely, 2132123131012131 is an apocalyptic number.

132123131012131 is a deficient number, since it is larger than the sum of its proper divisors (22275217682333).

132123131012131 is a wasteful number, since it uses less digits than its factorization.

132123131012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670031 (or 12670024 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 132123131012131 its reverse (131210131321231), we get a palindrome (263333262333362).

The spelling of 132123131012131 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred thirty-one million, twelve thousand, one hundred thirty-one".

Divisors: 1 7 49 331 643 2317 4501 16219 31507 212833 1489831 10428817 12669043 88683301 620783107 4193453233 8146194649 29354172631 57023362543 205479208417 399163537801 2696390428819 18874733001733 132123131012131