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2221796352401 is a prime number
BaseRepresentation
bin100000010101001101011…
…000011110000110010001
321212101211210210221221122
4200111031120132012101
5242400214331234101
64420402410332025
7316343120252003
oct40251530360621
97771753727848
102221796352401
1178729313416a
122ba72312a015
1313168c471b92
147976d660373
153cbd9c5551b
hex2054d61e191

2221796352401 has 2 divisors, whose sum is σ = 2221796352402. Its totient is φ = 2221796352400.

The previous prime is 2221796352319. The next prime is 2221796352421. The reversal of 2221796352401 is 1042536971222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1948187850625 + 273608501776 = 1395775^2 + 523076^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221796352401 - 230 = 2220722610577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221796352421) 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, 1110898176200 + 1110898176201.

It is an arithmetic number, because the mean of its divisors is an integer number (1110898176201).

Almost surely, 22221796352401 is an apocalyptic number.

It is an amenable number.

2221796352401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221796352401 is an equidigital number, since it uses as much as digits as its factorization.

2221796352401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2221796352401 in words is "two trillion, two hundred twenty-one billion, seven hundred ninety-six million, three hundred fifty-two thousand, four hundred one".