Search a number
-
+
13233302151073 is a prime number
BaseRepresentation
bin1100000010010001111001…
…0001100001111110100001
31201212002110120122202211121
43000210132101201332201
53213303300322313243
644051143423212241
72534034364226014
oct300443621417641
951762416582747
1013233302151073
1142422370889a4
121598852147081
1374cb83525b14
1433a6d0d2b37b
1517e3665b01ed
hexc091e461fa1

13233302151073 has 2 divisors, whose sum is σ = 13233302151074. Its totient is φ = 13233302151072.

The previous prime is 13233302151067. The next prime is 13233302151079. The reversal of 13233302151073 is 37015120333231.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (13233302151067) and next prime (13233302151079).

It can be written as a sum of positive squares in only one way, i.e., 10825988542369 + 2407313608704 = 3290287^2 + 1551552^2 .

It is an emirp because it is prime and its reverse (37015120333231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13233302151073 is a prime.

It is not a weakly prime, because it can be changed into another prime (13233302151079) 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, 6616651075536 + 6616651075537.

It is an arithmetic number, because the mean of its divisors is an integer number (6616651075537).

Almost surely, 213233302151073 is an apocalyptic number.

It is an amenable number.

13233302151073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233302151073 is an equidigital number, since it uses as much as digits as its factorization.

13233302151073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 34.

The spelling of 13233302151073 in words is "thirteen trillion, two hundred thirty-three billion, three hundred two million, one hundred fifty-one thousand, seventy-three".