Search a number
-
+
111211343112111 = 31123771116622511
BaseRepresentation
bin11001010010010101101000…
…100110011110011110101111
3112120202200220201022200122220
4121102111220212132132233
5104034041312314041421
61032305441414410423
732265516520214364
oct3122255046363657
9476680821280586
10111211343112111
1132487513a05300
1210581605960a13
134a092528c7808
141d6692cb3246b
15cccce01653c6
hex65256899e7af

111211343112111 has 48 divisors (see below), whose sum is σ = 169750130586624. Its totient is φ = 64655519544000.

The previous prime is 111211343112043. The next prime is 111211343112161.

111211343112111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111211343112111 - 221 = 111211341014959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211343112161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57357655 + ... + 59264856.

It is an arithmetic number, because the mean of its divisors is an integer number (3536461053888).

Almost surely, 2111211343112111 is an apocalyptic number.

111211343112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111211343112111 is a deficient number, since it is larger than the sum of its proper divisors (58538787474513).

111211343112111 is a wasteful number, since it uses less digits than its factorization.

111211343112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116622644 (or 116622633 counting only the distinct ones).

The product of its digits is 144, while the sum is 24.

The spelling of 111211343112111 in words is "one hundred eleven trillion, two hundred eleven billion, three hundred forty-three million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 11 33 37 71 111 121 213 363 407 781 1221 2343 2627 4477 7881 8591 13431 25773 28897 86691 317867 953601 116622511 349867533 1282847621 3848542863 4315032907 8280198281 12945098721 14111323831 24840594843 42333971493 47465361977 91082181091 142396085931 273246543273 306367336397 522118981747 919102009191 1001903992001 1566356945241 3005711976003 3370040700367 10110122101101 37070447704037 111211343112111