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2033982382141 is a prime number
BaseRepresentation
bin11101100110010010110…
…011000010000000111101
321012110001201200201122001
4131212102303002000331
5231311043442212031
64154222033222301
7266643656662333
oct35462263020075
97173051621561
102033982382141
11714675035526
1228a248701991
13119a5a9bcab8
1470633b83b53
1537d9654b861
hex1d992cc203d

2033982382141 has 2 divisors, whose sum is σ = 2033982382142. Its totient is φ = 2033982382140.

The previous prime is 2033982382079. The next prime is 2033982382163. The reversal of 2033982382141 is 1412832893302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1310615122041 + 723367260100 = 1144821^2 + 850510^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033982382141 - 27 = 2033982382013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2033982382091 and 2033982382100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033982382171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016991191070 + 1016991191071.

It is an arithmetic number, because the mean of its divisors is an integer number (1016991191071).

Almost surely, 22033982382141 is an apocalyptic number.

It is an amenable number.

2033982382141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033982382141 is an equidigital number, since it uses as much as digits as its factorization.

2033982382141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 2033982382141 in words is "two trillion, thirty-three billion, nine hundred eighty-two million, three hundred eighty-two thousand, one hundred forty-one".