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2202112023193 is a prime number
BaseRepresentation
bin100000000010111000000…
…110101101101010011001
321210112000222021102121201
4200002320012231222121
5242034411134220233
64403345235034201
7315045250233055
oct40027006555231
97715028242551
102202112023193
11779a019122a5
122b694aa3b961
1312c8732c0ac4
147882326ac65
153c436a9177d
hex200b81ada99

2202112023193 has 2 divisors, whose sum is σ = 2202112023194. Its totient is φ = 2202112023192.

The previous prime is 2202112023187. The next prime is 2202112023263. The reversal of 2202112023193 is 3913202112022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2173878950464 + 28233072729 = 1474408^2 + 168027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202112023193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202112023113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101056011596 + 1101056011597.

It is an arithmetic number, because the mean of its divisors is an integer number (1101056011597).

Almost surely, 22202112023193 is an apocalyptic number.

It is an amenable number.

2202112023193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202112023193 is an equidigital number, since it uses as much as digits as its factorization.

2202112023193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 2202112023193 in words is "two trillion, two hundred two billion, one hundred twelve million, twenty-three thousand, one hundred ninety-three".