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111435444534111 = 329101116310904431
BaseRepresentation
bin11001010101100110010110…
…000101100011101101011111
3112121120010100201200110200120
4121111212112011203231133
5104101224242300042421
61033000423025530023
732320642124656005
oct3125462605435537
9477503321613616
10111435444534111
1132563563361585
12105b8b28aa3913
134a24418233b29
141d7370bad0a75
15cd3a594618c6
hex655996163b5f

111435444534111 has 32 divisors (see below), whose sum is σ = 155359368299520. Its totient is φ = 70957306896000.

The previous prime is 111435444534097. The next prime is 111435444534121.

111435444534111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111435444534111 - 27 = 111435444533983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111435444534121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4767066 + ... + 15671496.

It is an arithmetic number, because the mean of its divisors is an integer number (4854980259360).

Almost surely, 2111435444534111 is an apocalyptic number.

111435444534111 is a deficient number, since it is larger than the sum of its proper divisors (43923923765409).

111435444534111 is a wasteful number, since it uses less digits than its factorization.

111435444534111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905727.

The product of its digits is 230400, while the sum is 42.

The spelling of 111435444534111 in words is "one hundred eleven trillion, four hundred thirty-five billion, four hundred forty-four million, five hundred thirty-four thousand, one hundred eleven".

Divisors: 1 3 29 87 101 303 1163 2929 3489 8787 33727 101181 117463 352389 3406427 10219281 10904431 32713293 316228499 948685497 1101347531 3304042593 12681853253 31939078399 38045559759 95817235197 367773744337 1103321233011 1280867178553 3842601535659 37145148178037 111435444534111