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1122001310033 is a prime number
BaseRepresentation
bin10000010100111100011…
…111010101000101010001
310222021002012102010020022
4100110330133111011101
5121340324313410113
62215235033553225
7144030144530402
oct20247437250521
93867065363208
101122001310033
113a292454194a
1216154bb75815
1381a5bc98616
143c43b4a99a9
151e2bc28c908
hex1053c7d5151

1122001310033 has 2 divisors, whose sum is σ = 1122001310034. Its totient is φ = 1122001310032.

The previous prime is 1122001310021. The next prime is 1122001310113. The reversal of 1122001310033 is 3300131002211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1062532147264 + 59469162769 = 1030792^2 + 243863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1122001310033 is a prime.

It is a super-2 number, since 2×11220013100332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122001309993 and 1122001310020.

It is not a weakly prime, because it can be changed into another prime (1122001370033) 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, 561000655016 + 561000655017.

It is an arithmetic number, because the mean of its divisors is an integer number (561000655017).

Almost surely, 21122001310033 is an apocalyptic number.

It is an amenable number.

1122001310033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122001310033 is an equidigital number, since it uses as much as digits as its factorization.

1122001310033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1122001310033 its reverse (3300131002211), we get a palindrome (4422132312244).

The spelling of 1122001310033 in words is "one trillion, one hundred twenty-two billion, one million, three hundred ten thousand, thirty-three".