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2221402041289 is a prime number
BaseRepresentation
bin100000010100110101111…
…000010010101111001001
321212100211022211212210101
4200110311320102233021
5242343412410310124
64420255323045401
7316330261542634
oct40246570225711
97770738755711
102221402041289
117871005a4412
122ba633070861
13131628872ab2
147973313ac1b
153cbb5317644
hex20535e12bc9

2221402041289 has 2 divisors, whose sum is σ = 2221402041290. Its totient is φ = 2221402041288.

The previous prime is 2221402041263. The next prime is 2221402041323. The reversal of 2221402041289 is 9821402041222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2084535339264 + 136866702025 = 1443792^2 + 369955^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221402041289 - 215 = 2221402008521 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221402041889) 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, 1110701020644 + 1110701020645.

It is an arithmetic number, because the mean of its divisors is an integer number (1110701020645).

Almost surely, 22221402041289 is an apocalyptic number.

It is an amenable number.

2221402041289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221402041289 is an equidigital number, since it uses as much as digits as its factorization.

2221402041289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 2221402041289 in words is "two trillion, two hundred twenty-one billion, four hundred two million, forty-one thousand, two hundred eighty-nine".