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1122084705137 = 111091102784869
BaseRepresentation
bin10000010101000001011…
…101011101001101110001
310222021022000100000210212
4100111001131131031301
5121341012141031022
62215251213233505
7144032206423664
oct20250135351561
93867260300725
101122084705137
113a2967621920
12161573a92895
1381a73347136
143c4485b76db
151e2c47623e2
hex1054175d371

1122084705137 has 16 divisors (see below), whose sum is σ = 1235449195200. Its totient is φ = 1010614933440.

The previous prime is 1122084705107. The next prime is 1122084705173. The reversal of 1122084705137 is 7315074802211.

It is a cyclic number.

It is not a de Polignac number, because 1122084705137 - 224 = 1122067927921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122084705094 and 1122084705103.

It is not an unprimeable number, because it can be changed into a prime (1122084705107) 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 in 15 ways as a sum of consecutive naturals, for example, 13178939 + ... + 13263807.

It is an arithmetic number, because the mean of its divisors is an integer number (77215574700).

Almost surely, 21122084705137 is an apocalyptic number.

It is an amenable number.

1122084705137 is a deficient number, since it is larger than the sum of its proper divisors (113364490063).

1122084705137 is a wasteful number, since it uses less digits than its factorization.

1122084705137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96016.

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 1122084705137 in words is "one trillion, one hundred twenty-two billion, eighty-four million, seven hundred five thousand, one hundred thirty-seven".

Divisors: 1 11 109 1199 11027 84869 121297 933559 1201943 9250721 13221373 101757931 935850463 10294355093 102007700467 1122084705137