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1100110031332 = 221353401399469
BaseRepresentation
bin10000000000100011101…
…010101110100111100100
310220011120120002221100021
4100000203222232213210
5121011011132000312
62201214503524524
7142323515656414
oct20004352564744
93804516087307
101100110031332
11394610484184
12159260759744
137c980821980
143b361d4a644
151d93a487c07
hex10023aae9e4

1100110031332 has 48 divisors (see below), whose sum is σ = 2112950493360. Its totient is φ = 498033888768.

The previous prime is 1100110031327. The next prime is 1100110031333. The reversal of 1100110031332 is 2331300110011.

It can be written as a sum of positive squares in 8 ways, for example, as 2258720676 + 1097851310656 = 47526^2 + 1047784^2 .

It is not an unprimeable number, because it can be changed into a prime (1100110031333) 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, 11010094 + ... + 11109562.

It is an arithmetic number, because the mean of its divisors is an integer number (44019801945).

Almost surely, 21100110031332 is an apocalyptic number.

It is an amenable number.

1100110031332 is a deficient number, since it is larger than the sum of its proper divisors (1012840462028).

1100110031332 is a wasteful number, since it uses less digits than its factorization.

1100110031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103552 (or 103550 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1100110031332 its reverse (2331300110011), we get a palindrome (3431410141343).

The spelling of 1100110031332 in words is "one trillion, one hundred billion, one hundred ten million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 52 53 106 212 689 1378 2756 4013 8026 16052 52169 99469 104338 198938 208676 212689 397876 425378 850756 1293097 2586194 2764957 5172388 5271857 5529914 10543714 11059828 21087428 68534141 137068282 274136564 399169097 798338194 1596676388 5189198261 10378396522 20756793044 21155962141 42311924282 84623848564 275027507833 550055015666 1100110031332