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2122332332041 is a prime number
BaseRepresentation
bin11110111000100100110…
…111010110000000001001
321111220002222201012112201
4132320210313112000021
5234233014034111131
64302552551240201
7306222242112235
oct36704467260011
97456088635481
102122332332041
117490922aa549
122a33a4979061
1312519aa0416c
1474a1587d5c5
153a317ade761
hex1ee24dd6009

2122332332041 has 2 divisors, whose sum is σ = 2122332332042. Its totient is φ = 2122332332040.

The previous prime is 2122332332027. The next prime is 2122332332179. The reversal of 2122332332041 is 1402332332212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2121858355600 + 473976441 = 1456660^2 + 21771^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122332332041 - 211 = 2122332329993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122332338041) 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, 1061166166020 + 1061166166021.

It is an arithmetic number, because the mean of its divisors is an integer number (1061166166021).

Almost surely, 22122332332041 is an apocalyptic number.

It is an amenable number.

2122332332041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122332332041 is an equidigital number, since it uses as much as digits as its factorization.

2122332332041 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 28.

Adding to 2122332332041 its reverse (1402332332212), we get a palindrome (3524664664253).

The spelling of 2122332332041 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-two million, three hundred thirty-two thousand, forty-one".