Search a number
-
+
12354103093 is a prime number
BaseRepresentation
bin10111000000101110…
…01010011100110101
31011212222102110110211
423200113022130311
5200300122244333
65401515145421
7615101100163
oct134027123465
934788373424
1012354103093
11526a629562
122489445271
13121b626497
14852a76233
154c48b9ecd
hex2e05ca735

12354103093 has 2 divisors, whose sum is σ = 12354103094. Its totient is φ = 12354103092.

The previous prime is 12354103087. The next prime is 12354103117. The reversal of 12354103093 is 39030145321.

12354103093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9639901489 + 2714201604 = 98183^2 + 52098^2 .

It is a cyclic number.

It is not a de Polignac number, because 12354103093 - 25 = 12354103061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12354103033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6177051546 + 6177051547.

It is an arithmetic number, because the mean of its divisors is an integer number (6177051547).

Almost surely, 212354103093 is an apocalyptic number.

It is an amenable number.

12354103093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12354103093 is an equidigital number, since it uses as much as digits as its factorization.

12354103093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 12354103093 in words is "twelve billion, three hundred fifty-four million, one hundred three thousand, ninety-three".