Search a number
-
+
13013200093 is a prime number
BaseRepresentation
bin11000001111010010…
…11010110011011101
31020120220122001120211
430013221122303131
5203122334400333
65551142012421
7640323242605
oct140751326335
936526561524
1013013200093
115578680923
122632117111
1312c5043cca
148b6403c05
155126acecd
hex307a5acdd

13013200093 has 2 divisors, whose sum is σ = 13013200094. Its totient is φ = 13013200092.

The previous prime is 13013200091. The next prime is 13013200157. The reversal of 13013200093 is 39000231031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11655793444 + 1357406649 = 107962^2 + 36843^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013200093 - 21 = 13013200091 is a prime.

Together with 13013200091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013200091) 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, 6506600046 + 6506600047.

It is an arithmetic number, because the mean of its divisors is an integer number (6506600047).

Almost surely, 213013200093 is an apocalyptic number.

It is an amenable number.

13013200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013200093 is an equidigital number, since it uses as much as digits as its factorization.

13013200093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 13013200093 in words is "thirteen billion, thirteen million, two hundred thousand, ninety-three".