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111122031104 = 297295918121
BaseRepresentation
bin110011101111101100…
…0111010001000000000
3101121211021201001200122
41213133120322020000
53310034214443404
6123014310435412
711012464452110
oct1473730721000
9347737631618
10111122031104
1143143542747
1219652662b68
13a62bac2636
145542219040
152d558813be
hex19df63a200

111122031104 has 160 divisors (see below), whose sum is σ = 266958806400. Its totient is φ = 45199687680.

The previous prime is 111122031091. The next prime is 111122031109. The reversal of 111122031104 is 401130221111.

It is not an unprimeable number, because it can be changed into a prime (111122031109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6123164 + ... + 6141284.

It is an arithmetic number, because the mean of its divisors is an integer number (1668492540).

Almost surely, 2111122031104 is an apocalyptic number.

111122031104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111122031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133479403200).

111122031104 is an abundant number, since it is smaller than the sum of its proper divisors (155836775296).

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

111122031104 is an equidigital number, since it uses as much as digits as its factorization.

111122031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18234 (or 18218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 111122031104 its reverse (401130221111), we get a palindrome (512252252215).

The spelling of 111122031104 in words is "one hundred eleven billion, one hundred twenty-two million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 59 64 112 116 118 128 203 224 232 236 256 406 413 448 464 472 512 812 826 896 928 944 1624 1652 1711 1792 1856 1888 3248 3304 3422 3584 3712 3776 6496 6608 6844 7424 7552 11977 12992 13216 13688 14848 15104 18121 23954 25984 26432 27376 30208 36242 47908 51968 52864 54752 72484 95816 103936 105728 109504 126847 144968 191632 211456 219008 253694 289936 383264 438016 507388 525509 579872 766528 876032 1014776 1051018 1069139 1159744 1533056 2029552 2102036 2138278 2319488 3066112 3678563 4059104 4204072 4276556 4638976 6132224 7357126 7483973 8118208 8408144 8553112 9277952 14714252 14967946 16236416 16816288 17106224 29428504 29935892 31005031 32472832 33632576 34212448 58857008 59871784 62010062 64945664 67265152 68424896 117714016 119743568 124020124 134530304 136849792 217035217 235428032 239487136 248040248 269060608 273699584 434070434 470856064 478974272 496080496 547399168 868140868 941712128 957948544 992160992 1736281736 1883424256 1915897088 1984321984 3472563472 3831794176 3968643968 6945126944 7937287936 13890253888 15874575872 27780507776 55561015552 111122031104