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2224100314193 is a prime number
BaseRepresentation
bin100000010111010110101…
…101011000110001010001
321212121210101010100100212
4200113112231120301101
5242414424140023233
64421423152253505
7316454164513532
oct40272655306121
97777711110325
102224100314193
1178826571081a
122bb066841295
131319688a3394
147990b640689
153ccc215aa48
hex205d6b58c51

2224100314193 has 2 divisors, whose sum is σ = 2224100314194. Its totient is φ = 2224100314192.

The previous prime is 2224100314147. The next prime is 2224100314253. The reversal of 2224100314193 is 3914130014222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2215013077264 + 9087236929 = 1488292^2 + 95327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2224100314193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2224100314393) 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, 1112050157096 + 1112050157097.

It is an arithmetic number, because the mean of its divisors is an integer number (1112050157097).

Almost surely, 22224100314193 is an apocalyptic number.

It is an amenable number.

2224100314193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224100314193 is an equidigital number, since it uses as much as digits as its factorization.

2224100314193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 2224100314193 in words is "two trillion, two hundred twenty-four billion, one hundred million, three hundred fourteen thousand, one hundred ninety-three".