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1122231140041 = 11217545566913
BaseRepresentation
bin10000010101001010001…
…100000011111011001001
310222021200012212200201211
4100111022030003323021
5121341312132440131
62215313524013121
7144035635204624
oct20251214037311
93867605780654
101122231140041
113a2a32249600
121615b4b311a1
1381a977983cb
143c45dc14dbb
151e2d253a5b1
hex1054a303ec9

1122231140041 has 12 divisors (see below), whose sum is σ = 1306087192116. Its totient is φ = 960197765120.

The previous prime is 1122231140033. The next prime is 1122231140071. The reversal of 1122231140041 is 1400411322211.

It can be written as a sum of positive squares in 2 ways, for example, as 1045628953600 + 76602186441 = 1022560^2 + 276771^2 .

It is not a de Polignac number, because 1122231140041 - 23 = 1122231140033 is a prime.

It is a super-3 number, since 3×11222311400413 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1122231139994 and 1122231140021.

It is not an unprimeable number, because it can be changed into a prime (1122231140011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272781400 + ... + 272785513.

It is an arithmetic number, because the mean of its divisors is an integer number (108840599343).

Almost surely, 21122231140041 is an apocalyptic number.

1122231140041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122231140041 is a deficient number, since it is larger than the sum of its proper divisors (183856052075).

1122231140041 is a wasteful number, since it uses less digits than its factorization.

1122231140041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545566952 (or 545566941 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1122231140041 its reverse (1400411322211), we get a palindrome (2522642462252).

The spelling of 1122231140041 in words is "one trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred forty thousand, forty-one".

Divisors: 1 11 17 121 187 2057 545566913 6001236043 9274637521 66013596473 102021012731 1122231140041