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114422121224411 = 71121310391619401
BaseRepresentation
bin11010000001000011111001…
…111000111101100011011011
3120000010122111100210111010212
4122001003321320331203123
5104444143001013140121
61043204444040401335
733046503554653430
oct3201037170754333
9500118440714125
10114422121224411
11335051704a8500
12109bb934a7624b
134bacc626c2510
1420380bb33bb87
15d365ae18d25b
hex6810f9e3d8db

114422121224411 has 24 divisors (see below), whose sum is σ = 154793562612192. Its totient is φ = 82301625648000.

The previous prime is 114422121224401. The next prime is 114422121224413.

114422121224411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114422121224411 - 226 = 114422054115547 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114422121224413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5195798690 + ... + 5195820711.

It is an arithmetic number, because the mean of its divisors is an integer number (6449731775508).

Almost surely, 2114422121224411 is an apocalyptic number.

114422121224411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114422121224411 is a deficient number, since it is larger than the sum of its proper divisors (40371441387781).

114422121224411 is a wasteful number, since it uses less digits than its factorization.

114422121224411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10391619443 (or 10391619432 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The spelling of 114422121224411 in words is "one hundred fourteen trillion, four hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-four thousand, four hundred eleven".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 10391619401 72741335807 114307813411 135091052213 800154693877 945637365491 1257385947521 1486001574343 8801701632647 10402011020401 16346017317773 114422121224411