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22191441095729 is a prime number
BaseRepresentation
bin1010000101110110110001…
…11101101010110000110001
32220120110222200111122200202
411002323120331222300301
510402041032410030404
6115110335102124545
74450164412005203
oct502733075526061
986513880448622
1022191441095729
117086378a72614
1225a4a24880755
13c4c84a8b6a79
1456a1001d8773
152873b4bdb21e
hex142ed8f6ac31

22191441095729 has 2 divisors, whose sum is σ = 22191441095730. Its totient is φ = 22191441095728.

The previous prime is 22191441095723. The next prime is 22191441095741. The reversal of 22191441095729 is 92759014419122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18081009239329 + 4110431856400 = 4252177^2 + 2027420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22191441095729 is a prime.

It is not a weakly prime, because it can be changed into another prime (22191441095723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11095720547864 + 11095720547865.

It is an arithmetic number, because the mean of its divisors is an integer number (11095720547865).

Almost surely, 222191441095729 is an apocalyptic number.

It is an amenable number.

22191441095729 is a deficient number, since it is larger than the sum of its proper divisors (1).

22191441095729 is an equidigital number, since it uses as much as digits as its factorization.

22191441095729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 22191441095729 in words is "twenty-two trillion, one hundred ninety-one billion, four hundred forty-one million, ninety-five thousand, seven hundred twenty-nine".