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100230301013 is a prime number
BaseRepresentation
bin101110101011000110…
…0010000010101010101
3100120201012222211211212
41131112030100111111
53120232424113023
6114013431111205
710145541334013
oct1352614202525
9316635884755
10100230301013
1139564434717
1217512b12505
1395b4445a2b
144bcb88d8b3
15291957be78
hex1756310555

100230301013 has 2 divisors, whose sum is σ = 100230301014. Its totient is φ = 100230301012.

The previous prime is 100230301007. The next prime is 100230301147. The reversal of 100230301013 is 310103032001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86073584689 + 14156716324 = 293383^2 + 118982^2 .

It is a cyclic number.

It is not a de Polignac number, because 100230301013 - 24 = 100230300997 is a prime.

It is a super-2 number, since 2×1002303010132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100230309013) 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, 50115150506 + 50115150507.

It is an arithmetic number, because the mean of its divisors is an integer number (50115150507).

Almost surely, 2100230301013 is an apocalyptic number.

It is an amenable number.

100230301013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100230301013 is an equidigital number, since it uses as much as digits as its factorization.

100230301013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100230301013 its reverse (310103032001), we get a palindrome (410333333014).

The spelling of 100230301013 in words is "one hundred billion, two hundred thirty million, three hundred one thousand, thirteen".