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2220243402401 is a prime number
BaseRepresentation
bin100000010011110000110…
…100011011111010100001
321212020211120122221000222
4200103300310123322201
5242334024302334101
64415544333252425
7316256462351663
oct40236064337241
97766746587028
102220243402401
11786666578912
122ba36b034115
131314a280085b
14796632d6533
153cb4874c01b
hex204f0d1bea1

2220243402401 has 2 divisors, whose sum is σ = 2220243402402. Its totient is φ = 2220243402400.

The previous prime is 2220243402361. The next prime is 2220243402407. The reversal of 2220243402401 is 1042043420222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1922590230625 + 297653171776 = 1386575^2 + 545576^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220243402401 - 214 = 2220243386017 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220243402407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110121701200 + 1110121701201.

It is an arithmetic number, because the mean of its divisors is an integer number (1110121701201).

Almost surely, 22220243402401 is an apocalyptic number.

It is an amenable number.

2220243402401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220243402401 is an equidigital number, since it uses as much as digits as its factorization.

2220243402401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2220243402401 its reverse (1042043420222), we get a palindrome (3262286822623).

The spelling of 2220243402401 in words is "two trillion, two hundred twenty billion, two hundred forty-three million, four hundred two thousand, four hundred one".