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2220240412301 is a prime number
BaseRepresentation
bin100000010011110000101…
…001000001111010001101
321212020211101001000101112
4200103300221001322031
5242334023021143201
64415544145221405
7316256425056332
oct40236051017215
97766741030345
102220240412301
1178666491635a
122ba36a031865
131314a1cc4872
1479662b58989
153cb4835b0bb
hex204f0a41e8d

2220240412301 has 2 divisors, whose sum is σ = 2220240412302. Its totient is φ = 2220240412300.

The previous prime is 2220240412277. The next prime is 2220240412319. The reversal of 2220240412301 is 1032140420222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2210009292100 + 10231120201 = 1486610^2 + 101149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220240412301 is a prime.

It is a super-2 number, since 2×22202404123012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220240412331) 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, 1110120206150 + 1110120206151.

It is an arithmetic number, because the mean of its divisors is an integer number (1110120206151).

Almost surely, 22220240412301 is an apocalyptic number.

It is an amenable number.

2220240412301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220240412301 is an equidigital number, since it uses as much as digits as its factorization.

2220240412301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2220240412301 its reverse (1032140420222), we get a palindrome (3252380832523).

The spelling of 2220240412301 in words is "two trillion, two hundred twenty billion, two hundred forty million, four hundred twelve thousand, three hundred one".