Search a number
-
+
130103140121257 is a prime number
BaseRepresentation
bin11101100101001111111111…
…011100110111101010101001
3122001122201221112100022120211
4131211033333130313222221
5114023102212332340012
61140412320224421121
736255433045236442
oct3545177734675251
9561581845308524
10130103140121257
11385004828a8966
1212712a3a4777a1
13577989a7c9734
14241b05029c2c9
1510094343046a7
hex7653ff737aa9

130103140121257 has 2 divisors, whose sum is σ = 130103140121258. Its totient is φ = 130103140121256.

The previous prime is 130103140121249. The next prime is 130103140121327. The reversal of 130103140121257 is 752121041301031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96414646257216 + 33688493864041 = 9819096^2 + 5804179^2 .

It is a cyclic number.

It is not a de Polignac number, because 130103140121257 - 23 = 130103140121249 is a prime.

It is a super-2 number, since 2×1301031401212572 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (130103140101257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65051570060628 + 65051570060629.

It is an arithmetic number, because the mean of its divisors is an integer number (65051570060629).

Almost surely, 2130103140121257 is an apocalyptic number.

It is an amenable number.

130103140121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

130103140121257 is an equidigital number, since it uses as much as digits as its factorization.

130103140121257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 130103140121257 its reverse (752121041301031), we get a palindrome (882224181422288).

The spelling of 130103140121257 in words is "one hundred thirty trillion, one hundred three billion, one hundred forty million, one hundred twenty-one thousand, two hundred fifty-seven".