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111134041020 = 223251100356113
BaseRepresentation
bin110011110000000011…
…0101110001110111100
3101121212010022020012100
41213200012232032330
53310100303303040
6123015420105100
711013001522332
oct1474006561674
9347763266170
10111134041020
114314a2a59a2
1219656695190
13a631438cb2
145543a63b52
152d56954b30
hex19e01ae3bc

111134041020 has 72 divisors (see below), whose sum is σ = 337143236976. Its totient is φ = 29632522752.

The previous prime is 111134040947. The next prime is 111134041037. The reversal of 111134041020 is 20140431111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111134040984 and 111134041002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1952484 + ... + 2008596.

It is an arithmetic number, because the mean of its divisors is an integer number (4682544958).

Almost surely, 2111134041020 is an apocalyptic number.

111134041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111134041020 is an abundant number, since it is smaller than the sum of its proper divisors (226009195956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111134041020 is a wasteful number, since it uses less digits than its factorization.

111134041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67131 (or 67126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111134041020 its reverse (20140431111), we get a palindrome (131274472131).

The spelling of 111134041020 in words is "one hundred eleven billion, one hundred thirty-four million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11003 22006 33009 44012 55015 56113 66018 99027 110030 112226 132036 165045 168339 198054 220060 224452 280565 330090 336678 396108 495135 505017 561130 660180 673356 841695 990270 1010034 1122260 1683390 1980540 2020068 2525085 3366780 5050170 10100340 617411339 1234822678 1852234017 2469645356 3087056695 3704468034 5556702051 6174113390 7408936068 9261170085 11113404102 12348226780 18522340170 22226808204 27783510255 37044680340 55567020510 111134041020