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4167221016353 is a prime number
BaseRepresentation
bin111100101001000001101…
…110100111011100100001
3112202101022210112111011012
4330221001232213130201
51021233432040010403
612510221144430305
7610033423124123
oct74510156473441
915671283474135
104167221016353
11136734369623a
12573775a78395
13242c760a34a5
141059a1ca3213
15735eb86ced8
hex3ca41ba7721

4167221016353 has 2 divisors, whose sum is σ = 4167221016354. Its totient is φ = 4167221016352.

The previous prime is 4167221016341. The next prime is 4167221016377. The reversal of 4167221016353 is 3536101227614.

4167221016353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3960529851664 + 206691164689 = 1990108^2 + 454633^2 .

It is a cyclic number.

It is not a de Polignac number, because 4167221016353 - 216 = 4167220950817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4167221016353.

It is not a weakly prime, because it can be changed into another prime (4167221016053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2083610508176 + 2083610508177.

It is an arithmetic number, because the mean of its divisors is an integer number (2083610508177).

Almost surely, 24167221016353 is an apocalyptic number.

It is an amenable number.

4167221016353 is a deficient number, since it is larger than the sum of its proper divisors (1).

4167221016353 is an equidigital number, since it uses as much as digits as its factorization.

4167221016353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 4167221016353 in words is "four trillion, one hundred sixty-seven billion, two hundred twenty-one million, sixteen thousand, three hundred fifty-three".