Search a number
-
+
9991000133 is a prime number
BaseRepresentation
bin10010100111000001…
…01001000001000101
3221210021211101121222
421103200221001011
5130430144001013
64331221450125
7502405046162
oct112340510105
927707741558
109991000133
114267728304
121b29b70945
13c32b88bca
146aac9d069
153d71d1508
hex253829045

9991000133 has 2 divisors, whose sum is σ = 9991000134. Its totient is φ = 9991000132.

The previous prime is 9991000099. The next prime is 9991000183. The reversal of 9991000133 is 3310001999.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6557274529 + 3433725604 = 80977^2 + 58598^2 .

It is an emirp because it is prime and its reverse (3310001999) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9991000133 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9991000093 and 9991000102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9991000183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4995500066 + 4995500067.

It is an arithmetic number, because the mean of its divisors is an integer number (4995500067).

Almost surely, 29991000133 is an apocalyptic number.

It is an amenable number.

9991000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

9991000133 is an equidigital number, since it uses as much as digits as its factorization.

9991000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 35.

The square root of 9991000133 is about 99954.9905357406. The cubic root of 9991000133 is about 2153.7881751858.

The spelling of 9991000133 in words is "nine billion, nine hundred ninety-one million, one hundred thirty-three", and thus it is an aban number.