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2122333002029 is a prime number
BaseRepresentation
bin11110111000100100111…
…001111001100100101101
321111220010000222020121002
4132320210321321210231
5234233014222031104
64302553013450045
7306222250602452
oct36704471714455
97456100866532
102122333002029
11749092717959
122a33a5040925
1312519abaa0c6
1474a159b5829
153a317bc301e
hex1ee24e7992d

2122333002029 has 2 divisors, whose sum is σ = 2122333002030. Its totient is φ = 2122333002028.

The previous prime is 2122333002017. The next prime is 2122333002077. The reversal of 2122333002029 is 9202003332212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2106846444004 + 15486558025 = 1451498^2 + 124445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122333002029 is a prime.

It is a super-3 number, since 3×21223330020293 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122333001992 and 2122333002010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122333002529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061166501014 + 1061166501015.

It is an arithmetic number, because the mean of its divisors is an integer number (1061166501015).

Almost surely, 22122333002029 is an apocalyptic number.

It is an amenable number.

2122333002029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122333002029 is an equidigital number, since it uses as much as digits as its factorization.

2122333002029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 2122333002029 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-three million, two thousand, twenty-nine".