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111034411040 = 2557103196157
BaseRepresentation
bin110011101101000101…
…0101010100000100000
3101121121011211111120002
41213122022222200200
53304344302123130
6123001500435132
711010351631040
oct1473212524040
9347534744502
10111034411040
11430a9037473
1219629248aa8
13a6168c4a47
14553472b720
152d4cd24b45
hex19da2aa820

111034411040 has 96 divisors (see below), whose sum is σ = 300086809344. Its totient is φ = 38031621120.

The previous prime is 111034411039. The next prime is 111034411043. The reversal of 111034411040 is 40114430111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (111034411043) 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, 1106642 + ... + 1202798.

It is an arithmetic number, because the mean of its divisors is an integer number (3125904264).

Almost surely, 2111034411040 is an apocalyptic number.

111034411040 is a gapful number since it is divisible by the number (10) 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 111034411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150043404672).

111034411040 is an abundant number, since it is smaller than the sum of its proper divisors (189052398304).

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

111034411040 is a wasteful number, since it uses less digits than its factorization.

111034411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97210 (or 97202 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 111034411040 its reverse (40114430111), we get a palindrome (151148841151).

The spelling of 111034411040 in words is "one hundred eleven billion, thirty-four million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1031 1120 2062 4124 5155 7217 8248 10310 14434 16496 20620 28868 32992 36085 41240 57736 72170 82480 96157 115472 144340 164960 192314 230944 288680 384628 480785 577360 673099 769256 961570 1154720 1346198 1538512 1923140 2692396 3077024 3365495 3846280 5384792 6730990 7692560 10769584 13461980 15385120 21539168 26923960 53847920 99137867 107695840 198275734 396551468 495689335 693965069 793102936 991378670 1387930138 1586205872 1982757340 2775860276 3172411744 3469825345 3965514680 5551720552 6939650690 7931029360 11103441104 13879301380 15862058720 22206882208 27758602760 55517205520 111034411040