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44122032193 is a prime number
BaseRepresentation
bin101001000101111000…
…001100100001000001
311012212221101110122111
4221011320030201001
51210330220012233
632134104135321
73121246041241
oct510570144101
9135787343574
1044122032193
1117791811918
128674467541
13421205cb75
1421c7c09b21
151233814acd
hexa45e0c841

44122032193 has 2 divisors, whose sum is σ = 44122032194. Its totient is φ = 44122032192.

The previous prime is 44122032139. The next prime is 44122032257. The reversal of 44122032193 is 39123022144.

Together with previous prime (44122032139) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36728955904 + 7393076289 = 191648^2 + 85983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44122032193 is a prime.

It is not a weakly prime, because it can be changed into another prime (44122039193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22061016096 + 22061016097.

It is an arithmetic number, because the mean of its divisors is an integer number (22061016097).

Almost surely, 244122032193 is an apocalyptic number.

It is an amenable number.

44122032193 is a deficient number, since it is larger than the sum of its proper divisors (1).

44122032193 is an equidigital number, since it uses as much as digits as its factorization.

44122032193 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 31.

The spelling of 44122032193 in words is "forty-four billion, one hundred twenty-two million, thirty-two thousand, one hundred ninety-three".