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22200201221441 is a prime number
BaseRepresentation
bin1010000110000111000110…
…00110111001010101000001
32220121022121012020011001012
411003003203012321111001
510402212003003041231
6115114344234050305
74450624452566255
oct503034306712501
986538535204035
1022200201221441
11708a063916731
1225a666a579995
13c5061575b4c9
1456a6d180c265
15287728cd3e2b
hex1430e31b9541

22200201221441 has 2 divisors, whose sum is σ = 22200201221442. Its totient is φ = 22200201221440.

The previous prime is 22200201221423. The next prime is 22200201221501. The reversal of 22200201221441 is 14412210200222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21484189090816 + 716012130625 = 4635104^2 + 846175^2 .

It is a cyclic number.

It is not a de Polignac number, because 22200201221441 - 26 = 22200201221377 is a prime.

It is a super-3 number, since 3×222002012214413 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22200201221941) 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, 11100100610720 + 11100100610721.

It is an arithmetic number, because the mean of its divisors is an integer number (11100100610721).

Almost surely, 222200201221441 is an apocalyptic number.

It is an amenable number.

22200201221441 is a deficient number, since it is larger than the sum of its proper divisors (1).

22200201221441 is an equidigital number, since it uses as much as digits as its factorization.

22200201221441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 22200201221441 its reverse (14412210200222), we get a palindrome (36612411421663).

The spelling of 22200201221441 in words is "twenty-two trillion, two hundred billion, two hundred one million, two hundred twenty-one thousand, four hundred forty-one".