Search a number
-
+
101101091719393 is a prime number
BaseRepresentation
bin10110111111001101101110…
…101010001000100011100001
3111020222011120220122101111001
4112333031232222020203201
5101222420013440010033
6555005111135352001
730203212205264203
oct2677155652104341
9436864526571431
10101101091719393
112a2398066370a7
12b40a09b082601
134454a3b162b0c
141ad74672a0773
15ba4d1101ce7d
hex5bf36ea888e1

101101091719393 has 2 divisors, whose sum is σ = 101101091719394. Its totient is φ = 101101091719392.

The previous prime is 101101091719387. The next prime is 101101091719417. The reversal of 101101091719393 is 393917190101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96786381732049 + 4314709987344 = 9838007^2 + 2077188^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101091719393 - 221 = 101101089622241 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101091711393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550545859696 + 50550545859697.

It is an arithmetic number, because the mean of its divisors is an integer number (50550545859697).

Almost surely, 2101101091719393 is an apocalyptic number.

It is an amenable number.

101101091719393 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101091719393 is an equidigital number, since it uses as much as digits as its factorization.

101101091719393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45927, while the sum is 46.

The spelling of 101101091719393 in words is "one hundred one trillion, one hundred one billion, ninety-one million, seven hundred nineteen thousand, three hundred ninety-three".