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100321320217 is a prime number
BaseRepresentation
bin101110101101110011…
…1011101110100011001
3100120221120021002201111
41131123213131310121
53120424224221332
6114030442020321
710151025103066
oct1353347356431
9316846232644
10100321320217
11396008517a8
12175394a76a1
1395ca263851
144bd99c3c6d
15292255a947
hex175b9ddd19

100321320217 has 2 divisors, whose sum is σ = 100321320218. Its totient is φ = 100321320216.

The previous prime is 100321320149. The next prime is 100321320293. The reversal of 100321320217 is 712023123001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79716440281 + 20604879936 = 282341^2 + 143544^2 .

It is a cyclic number.

It is not a de Polignac number, because 100321320217 - 27 = 100321320089 is a prime.

It is not a weakly prime, because it can be changed into another prime (100321320017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50160660108 + 50160660109.

It is an arithmetic number, because the mean of its divisors is an integer number (50160660109).

Almost surely, 2100321320217 is an apocalyptic number.

It is an amenable number.

100321320217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100321320217 is an equidigital number, since it uses as much as digits as its factorization.

100321320217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 100321320217 its reverse (712023123001), we get a palindrome (812344443218).

The spelling of 100321320217 in words is "one hundred billion, three hundred twenty-one million, three hundred twenty thousand, two hundred seventeen".