Search a number
-
+
99930013 is a prime number
BaseRepresentation
bin1011111010011…
…00111110011101
320222000222012121
411331030332131
5201040230023
613525502541
72322251101
oct575147635
9228028177
1099930013
1151453997
1229571a51
131791a9b1
14d3b3901
158b8dd5d
hex5f4cf9d

99930013 has 2 divisors, whose sum is σ = 99930014. Its totient is φ = 99930012.

The previous prime is 99929983. The next prime is 99930049. The reversal of 99930013 is 31003999.

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., 93180409 + 6749604 = 9653^2 + 2598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-99930013 is a prime.

It is a super-3 number, since 3×999300133 (a number of 25 digits) contains 333 as substring.

It is the 9997-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (99900013) by changing a digit.

It is a nontrivial repunit in base 9996.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49965006 + 49965007.

It is an arithmetic number, because the mean of its divisors is an integer number (49965007).

Almost surely, 299930013 is an apocalyptic number.

It is an amenable number.

99930013 is a deficient number, since it is larger than the sum of its proper divisors (1).

99930013 is an equidigital number, since it uses as much as digits as its factorization.

99930013 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 34.

The square root of 99930013 is about 9996.5000375131. The cubic root of 99930013 is about 464.0505744641.

The spelling of 99930013 in words is "ninety-nine million, nine hundred thirty thousand, thirteen".