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981105401093 is a prime number
BaseRepresentation
bin11100100011011100111…
…00000101110100000101
310110210101220220100110112
432101232130011310011
5112033300440313333
62030414045402405
7130611464211566
oct16215634056405
93423356810415
10981105401093
113490a24700a4
1213a18a269405
13716969130bc
14356b2ca816d
151a7c2a9b948
hexe46e705d05

981105401093 has 2 divisors, whose sum is σ = 981105401094. Its totient is φ = 981105401092.

The previous prime is 981105401071. The next prime is 981105401231. The reversal of 981105401093 is 390104501189.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 922028209729 + 59077191364 = 960223^2 + 243058^2 .

It is a cyclic number.

It is not a de Polignac number, because 981105401093 - 224 = 981088623877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 981105401093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (981105403093) 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, 490552700546 + 490552700547.

It is an arithmetic number, because the mean of its divisors is an integer number (490552700547).

Almost surely, 2981105401093 is an apocalyptic number.

It is an amenable number.

981105401093 is a deficient number, since it is larger than the sum of its proper divisors (1).

981105401093 is an equidigital number, since it uses as much as digits as its factorization.

981105401093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 981105401093 in words is "nine hundred eighty-one billion, one hundred five million, four hundred one thousand, ninety-three".