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2220121000301 is a prime number
BaseRepresentation
bin100000010011101001100…
…001100000100101101101
321212020112001100020220212
4200103221201200211231
5242333301434002201
64415524241552205
7316253445064361
oct40235141404555
97766461306825
102220121000301
11786603476356
122ba336045665
13131483345489
1479650d532a1
153cb3cb1eabb
hex204e986096d

2220121000301 has 2 divisors, whose sum is σ = 2220121000302. Its totient is φ = 2220121000300.

The previous prime is 2220121000289. The next prime is 2220121000333. The reversal of 2220121000301 is 1030001210222.

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., 2095910571076 + 124210429225 = 1447726^2 + 352435^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220121000301 - 238 = 1945243093357 is a prime.

It is a super-3 number, since 3×22201210003013 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220121000901) 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, 1110060500150 + 1110060500151.

It is an arithmetic number, because the mean of its divisors is an integer number (1110060500151).

Almost surely, 22220121000301 is an apocalyptic number.

It is an amenable number.

2220121000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220121000301 is an equidigital number, since it uses as much as digits as its factorization.

2220121000301 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 2220121000301 its reverse (1030001210222), we get a palindrome (3250122210523).

The spelling of 2220121000301 in words is "two trillion, two hundred twenty billion, one hundred twenty-one million, three hundred one", and thus it is an aban number.