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100303112201 is a prime number
BaseRepresentation
bin101110101101010001…
…0000000100000001001
3100120220022000001000112
41131122202000200021
53120410044042301
6114024551444105
710150414246355
oct1353242004011
9316808001015
10100303112201
11395a1545856
1217533386635
1395c6559c86
144bd7404465
152920b609bb
hex175a880809

100303112201 has 2 divisors, whose sum is σ = 100303112202. Its totient is φ = 100303112200.

The previous prime is 100303112183. The next prime is 100303112279. The reversal of 100303112201 is 102211303001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58056420601 + 42246691600 = 240949^2 + 205540^2 .

It is an emirp because it is prime and its reverse (102211303001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100303112201 - 214 = 100303095817 is a prime.

It is not a weakly prime, because it can be changed into another prime (100303112291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151556100 + 50151556101.

It is an arithmetic number, because the mean of its divisors is an integer number (50151556101).

Almost surely, 2100303112201 is an apocalyptic number.

It is an amenable number.

100303112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303112201 is an equidigital number, since it uses as much as digits as its factorization.

100303112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100303112201 its reverse (102211303001), we get a palindrome (202514415202).

The spelling of 100303112201 in words is "one hundred billion, three hundred three million, one hundred twelve thousand, two hundred one".