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1100111142 = 23135325021
BaseRepresentation
bin100000110010010…
…0101110100100110
32211200001102210010
41001210211310212
54223112024032
6301055111050
736155535054
oct10144456446
92750042703
101100111142
11514a90869
12268512486
13146bbc450
14a616b1d4
15668a8ccc
hex41925d26

1100111142 has 48 divisors (see below), whose sum is σ = 2415501648. Its totient is φ = 332042880.

The previous prime is 1100111141. The next prime is 1100111171. The reversal of 1100111142 is 2411110011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216592 + ... + 221612.

It is an arithmetic number, because the mean of its divisors is an integer number (50322951).

Almost surely, 21100111142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100111142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207750824).

1100111142 is an abundant number, since it is smaller than the sum of its proper divisors (1315390506).

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

1100111142 is a wasteful number, since it uses less digits than its factorization.

1100111142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1100111142 is about 33167.9233899260. The cubic root of 1100111142 is about 1032.3148808542.

Adding to 1100111142 its reverse (2411110011), we get a palindrome (3511221153).

The spelling of 1100111142 in words is "one billion, one hundred million, one hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 2809 4134 5021 5618 8427 10042 15063 16854 30126 36517 65273 73034 109551 130546 195819 219102 266113 391638 532226 798339 1596678 3459469 6918938 10378407 14103989 20756814 28207978 42311967 84623934 183351857 366703714 550055571 1100111142