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100220221301 is a prime number
BaseRepresentation
bin101110101010110010…
…1110011011101110101
3100120200112000202002012
41131111211303131311
53120222334040201
6114012431054005
710145356553054
oct1352545633565
9316615022065
10100220221301
113955977a682
121750b671305
1395b2326ac5
144bca3c839b
15291873a5bb
hex1755973775

100220221301 has 2 divisors, whose sum is σ = 100220221302. Its totient is φ = 100220221300.

The previous prime is 100220221289. The next prime is 100220221307. The reversal of 100220221301 is 103122022001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64584598225 + 35635623076 = 254135^2 + 188774^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220221301 - 26 = 100220221237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220221307) 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, 50110110650 + 50110110651.

It is an arithmetic number, because the mean of its divisors is an integer number (50110110651).

Almost surely, 2100220221301 is an apocalyptic number.

It is an amenable number.

100220221301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220221301 is an equidigital number, since it uses as much as digits as its factorization.

100220221301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100220221301 its reverse (103122022001), we get a palindrome (203342243302).

The spelling of 100220221301 in words is "one hundred billion, two hundred twenty million, two hundred twenty-one thousand, three hundred one".