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1002982348001 is a prime number
BaseRepresentation
bin11101001100001100110…
…10000001010011100001
310112212212120020101211102
432212012122001103201
5112413101440114001
62044432544324145
7132314560202114
oct16460632012341
93485776211742
101002982348001
113573a942a107
12142474913655
137377210c5ba
143678a57657b
151b1534bee6b
hexe9866814e1

1002982348001 has 2 divisors, whose sum is σ = 1002982348002. Its totient is φ = 1002982348000.

The previous prime is 1002982347971. The next prime is 1002982348007. The reversal of 1002982348001 is 1008432892001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 505590680401 + 497391667600 = 711049^2 + 705260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002982348001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002982348007) 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, 501491174000 + 501491174001.

It is an arithmetic number, because the mean of its divisors is an integer number (501491174001).

Almost surely, 21002982348001 is an apocalyptic number.

It is an amenable number.

1002982348001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002982348001 is an equidigital number, since it uses as much as digits as its factorization.

1002982348001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 1002982348001 in words is "one trillion, two billion, nine hundred eighty-two million, three hundred forty-eight thousand, one".