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130413505301 is a prime number
BaseRepresentation
bin111100101110101000…
…0000010101100010101
3110110121202000111020222
41321131100002230111
54114041324132201
6135524450004125
712264524335112
oct1713520025425
9413552014228
10130413505301
1150343029852
1221337276645
13c3b4764321
146452387909
1535d42e391b
hex1e5d402b15

130413505301 has 2 divisors, whose sum is σ = 130413505302. Its totient is φ = 130413505300.

The previous prime is 130413505289. The next prime is 130413505363. The reversal of 130413505301 is 103505314031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122461503025 + 7952002276 = 349945^2 + 89174^2 .

It is a cyclic number.

It is not a de Polignac number, because 130413505301 - 226 = 130346396437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130413505501) 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, 65206752650 + 65206752651.

It is an arithmetic number, because the mean of its divisors is an integer number (65206752651).

Almost surely, 2130413505301 is an apocalyptic number.

It is an amenable number.

130413505301 is a deficient number, since it is larger than the sum of its proper divisors (1).

130413505301 is an equidigital number, since it uses as much as digits as its factorization.

130413505301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 130413505301 its reverse (103505314031), we get a palindrome (233918819332).

The spelling of 130413505301 in words is "one hundred thirty billion, four hundred thirteen million, five hundred five thousand, three hundred one".