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4223134144001 is a prime number
BaseRepresentation
bin111101011101000110011…
…010010001011000000001
3112221201122110221122222202
4331131012122101120001
51023142434320102001
612552025301042545
7614053125640103
oct75350632213001
915851573848882
104223134144001
111389026144643
1258257b0b6455
13248316c137c6
14108587a6b573
1574cc03da96b
hex3d746691601

4223134144001 has 2 divisors, whose sum is σ = 4223134144002. Its totient is φ = 4223134144000.

The previous prime is 4223134143989. The next prime is 4223134144057. The reversal of 4223134144001 is 1004414313224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4136956670401 + 86177473600 = 2033951^2 + 293560^2 .

It is a cyclic number.

It is not a de Polignac number, because 4223134144001 - 226 = 4223067035137 is a prime.

It is not a weakly prime, because it can be changed into another prime (4223134144601) 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, 2111567072000 + 2111567072001.

It is an arithmetic number, because the mean of its divisors is an integer number (2111567072001).

Almost surely, 24223134144001 is an apocalyptic number.

It is an amenable number.

4223134144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4223134144001 is an equidigital number, since it uses as much as digits as its factorization.

4223134144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4223134144001 its reverse (1004414313224), we get a palindrome (5227548457225).

The spelling of 4223134144001 in words is "four trillion, two hundred twenty-three billion, one hundred thirty-four million, one hundred forty-four thousand, one".