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4222132312193 is a prime number
BaseRepresentation
bin111101011100001010101…
…100100101100010000001
3112221122001122211100002222
4331130022230211202001
51023133411332442233
612551342032220425
7614016242336465
oct75341254454201
915848048740088
104222132312193
11138866168a574
1258233b69a715
132481b74b4913
141084d09a44a5
1574c62496898
hex3d70ab25881

4222132312193 has 2 divisors, whose sum is σ = 4222132312194. Its totient is φ = 4222132312192.

The previous prime is 4222132312159. The next prime is 4222132312253. The reversal of 4222132312193 is 3912132312224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4216192835569 + 5939476624 = 2053337^2 + 77068^2 .

It is a cyclic number.

It is not a de Polignac number, because 4222132312193 - 28 = 4222132311937 is a prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (4222132372193) 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, 2111066156096 + 2111066156097.

It is an arithmetic number, because the mean of its divisors is an integer number (2111066156097).

Almost surely, 24222132312193 is an apocalyptic number.

It is an amenable number.

4222132312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

4222132312193 is an equidigital number, since it uses as much as digits as its factorization.

4222132312193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 35.

The spelling of 4222132312193 in words is "four trillion, two hundred twenty-two billion, one hundred thirty-two million, three hundred twelve thousand, one hundred ninety-three".