Search a number
-
+
130213100309 is a prime number
BaseRepresentation
bin111100101000101001…
…1100011101100010101
3110110002202220212021212
41321101103203230111
54113134023202214
6135452530351205
712256542043025
oct1712123435425
9413082825255
10130213100309
115024a99a596
12212a012b505
13c3820978a6
1464338dba85
1535c190953e
hex1e514e3b15

130213100309 has 2 divisors, whose sum is σ = 130213100310. Its totient is φ = 130213100308.

The previous prime is 130213100293. The next prime is 130213100333. The reversal of 130213100309 is 903001312031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114889136209 + 15323964100 = 338953^2 + 123790^2 .

It is a cyclic number.

It is not a de Polignac number, because 130213100309 - 24 = 130213100293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130213100209) 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, 65106550154 + 65106550155.

It is an arithmetic number, because the mean of its divisors is an integer number (65106550155).

Almost surely, 2130213100309 is an apocalyptic number.

It is an amenable number.

130213100309 is a deficient number, since it is larger than the sum of its proper divisors (1).

130213100309 is an equidigital number, since it uses as much as digits as its factorization.

130213100309 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 23.

The spelling of 130213100309 in words is "one hundred thirty billion, two hundred thirteen million, one hundred thousand, three hundred nine".