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111117701071 = 1341574936263
BaseRepresentation
bin110011101111100100…
…0011000111111001111
3101121210222120002000001
41213133020120333033
53310032112413241
6123014033545131
711012412606106
oct1473710307717
9347728502001
10111117701071
1143141055503
12196511151a7
13a62ac377a0
14554180d03d
152d552c8431
hex19df218fcf

111117701071 has 16 divisors (see below), whose sum is σ = 122608584000. Its totient is φ = 100048308480.

The previous prime is 111117701047. The next prime is 111117701087. The reversal of 111117701071 is 170107711111.

111117701071 is a nontrivial binomial coefficient, being equal to C(471419, 2).

It is a cyclic number.

It is not a de Polignac number, because 111117701071 - 221 = 111115603919 is a prime.

It is a super-3 number, since 3×1111177010713 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111117701011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3046086 + ... + 3082348.

It is an arithmetic number, because the mean of its divisors is an integer number (7663036500).

Almost surely, 2111117701071 is an apocalyptic number.

111117701071 is the 471418-th triangular number.

111117701071 is the 157140-th centered nonagonal number.

111117701071 is a deficient number, since it is larger than the sum of its proper divisors (11490882929).

111117701071 is a wasteful number, since it uses less digits than its factorization.

111117701071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42066.

The product of its (nonzero) digits is 343, while the sum is 28.

The spelling of 111117701071 in words is "one hundred eleven billion, one hundred seventeen million, seven hundred one thousand, seventy-one".

Divisors: 1 13 41 533 5749 36263 74737 235709 471419 1486783 3064217 19328179 208475987 2710187831 8547515467 111117701071