Search a number
-
+
15003100466213 is a prime number
BaseRepresentation
bin1101101001010010111001…
…1110010100110000100101
31222010021121212102101022112
43122110232132110300211
53431302322204404323
651524155035210405
73105636546545516
oct332245636246045
958107555371275
1015003100466213
1148648630a0752
12182384bba6a05
1384aa2b67ba82
1439c222590a0d
151b03e9951178
hexda52e794c25

15003100466213 has 2 divisors, whose sum is σ = 15003100466214. Its totient is φ = 15003100466212.

The previous prime is 15003100466147. The next prime is 15003100466227. The reversal of 15003100466213 is 31266400130051.

15003100466213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14838266090209 + 164834376004 = 3852047^2 + 405998^2 .

It is a cyclic number.

It is not a de Polignac number, because 15003100466213 - 238 = 14728222559269 is a prime.

It is a super-2 number, since 2×150031004662132 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15003100466213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15003100466513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7501550233106 + 7501550233107.

It is an arithmetic number, because the mean of its divisors is an integer number (7501550233107).

Almost surely, 215003100466213 is an apocalyptic number.

It is an amenable number.

15003100466213 is a deficient number, since it is larger than the sum of its proper divisors (1).

15003100466213 is an equidigital number, since it uses as much as digits as its factorization.

15003100466213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 15003100466213 its reverse (31266400130051), we get a palindrome (46269500596264).

The spelling of 15003100466213 in words is "fifteen trillion, three billion, one hundred million, four hundred sixty-six thousand, two hundred thirteen".