Search a number
-
+
98000077000013 is a prime number
BaseRepresentation
bin10110010010000101101011…
…110001110000110101001101
3110211222201022212100200110222
4112102011223301300311031
5100321113124203000023
6544232340332041125
726433162160134056
oct2622055361606515
9424881285320428
1098000077000013
1129253665678671
12aba90a36031a5
13428b4a1831616
141a2b32c68772d
15b4e318451cc8
hex59216bc70d4d

98000077000013 has 2 divisors, whose sum is σ = 98000077000014. Its totient is φ = 98000077000012.

The previous prime is 98000077000003. The next prime is 98000077000093. The reversal of 98000077000013 is 31000077000089.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97825016766409 + 175060233604 = 9890653^2 + 418402^2 .

It is a cyclic number.

It is not a de Polignac number, because 98000077000013 - 216 = 98000076934477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (98000077000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49000038500006 + 49000038500007.

It is an arithmetic number, because the mean of its divisors is an integer number (49000038500007).

Almost surely, 298000077000013 is an apocalyptic number.

It is an amenable number.

98000077000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

98000077000013 is an equidigital number, since it uses as much as digits as its factorization.

98000077000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 98000077000013 in words is "ninety-eight trillion, seventy-seven million, thirteen", and thus it is an aban number and an uban number.