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132123112003233 = 32131129257367549
BaseRepresentation
bin11110000010101001001111…
…001010000101011010100001
3122022210211211211210220010100
4132002221033022011122201
5114304201113133100413
61145000304132253013
736554402612031621
oct3602511712053241
9568724754726110
10132123112003233
113910a10831322a
121299a416a71169
135895204972240
14248ab153d4881
151041c5a846a73
hex782a4f2856a1

132123112003233 has 12 divisors (see below), whose sum is σ = 205524840894100. Its totient is φ = 81306530463456.

The previous prime is 132123112003219. The next prime is 132123112003237. The reversal of 132123112003233 is 332300211321231.

132123112003233 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 311 + 20 + 0 + 323 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85700787830784 + 46422324172449 = 9257472^2 + 6813393^2 .

It is not a de Polignac number, because 132123112003233 - 226 = 132123044894369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132123112003197 and 132123112003206.

It is not an unprimeable number, because it can be changed into a prime (132123112003237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564628683658 + ... + 564628683891.

Almost surely, 2132123112003233 is an apocalyptic number.

132123112003233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132123112003233 is a deficient number, since it is larger than the sum of its proper divisors (73401728890867).

132123112003233 is a wasteful number, since it uses less digits than its factorization.

132123112003233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129257367568 (or 1129257367565 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132123112003233 its reverse (332300211321231), we get a palindrome (464423323324464).

The spelling of 132123112003233 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred twelve million, three thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 117 1129257367549 3387772102647 10163316307941 14680345778137 44041037334411 132123112003233