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111013414013 = 61101157114769
BaseRepresentation
bin110011101100011101…
…0100100010001111101
3101121112201022202001102
41213120322210101331
53304323413222023
6122555430422445
711010005310155
oct1473072442175
9347481282042
10111013414013
11430981a6057
1219622201a25
13a612452878
145531a23765
152d4b078628
hex19d8ea447d

111013414013 has 16 divisors (see below), whose sum is σ = 114677265840. Its totient is φ = 107422848000.

The previous prime is 111013413983. The next prime is 111013414021. The reversal of 111013414013 is 310414310111.

It can be written as a sum of positive squares in 8 ways, for example, as 8663327929 + 102350086084 = 93077^2 + 319922^2 .

It is a cyclic number.

It is not a de Polignac number, because 111013414013 - 28 = 111013413757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111013414513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909893 + ... + 1024661.

It is an arithmetic number, because the mean of its divisors is an integer number (7167329115).

Almost surely, 2111013414013 is an apocalyptic number.

It is an amenable number.

111013414013 is a deficient number, since it is larger than the sum of its proper divisors (3663851827).

111013414013 is a wasteful number, since it uses less digits than its factorization.

111013414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115088.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 111013414013 its reverse (310414310111), we get a palindrome (421427724124).

The spelling of 111013414013 in words is "one hundred eleven billion, thirteen million, four hundred fourteen thousand, thirteen".

Divisors: 1 61 101 157 6161 9577 15857 114769 967277 7000909 11591669 18018733 707091809 1099142713 1819892033 111013414013