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138017650033 is a prime number
BaseRepresentation
bin1000000010001001111…
…1100011010101110001
3111012020200120001211001
42000202133203111301
54230130004300113
6143223205122001
712654130445224
oct2004237432561
9435220501731
10138017650033
115359540228a
12228b99b9301
1310026c87553
1469742495bb
1538cbb987dd
hex20227e3571

138017650033 has 2 divisors, whose sum is σ = 138017650034. Its totient is φ = 138017650032.

The previous prime is 138017650031. The next prime is 138017650061. The reversal of 138017650033 is 330056710831.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82178542224 + 55839107809 = 286668^2 + 236303^2 .

It is a cyclic number.

It is not a de Polignac number, because 138017650033 - 21 = 138017650031 is a prime.

Together with 138017650031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 138017649974 and 138017650001.

It is not a weakly prime, because it can be changed into another prime (138017650031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69008825016 + 69008825017.

It is an arithmetic number, because the mean of its divisors is an integer number (69008825017).

Almost surely, 2138017650033 is an apocalyptic number.

It is an amenable number.

138017650033 is a deficient number, since it is larger than the sum of its proper divisors (1).

138017650033 is an equidigital number, since it uses as much as digits as its factorization.

138017650033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 138017650033 in words is "one hundred thirty-eight billion, seventeen million, six hundred fifty thousand, thirty-three".