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1111001100012 = 2232432521284689
BaseRepresentation
bin10000001010101100110…
…100110110111011101100
310221012200120120112220100
4100022230310312323230
5121200312240200022
62210215321151100
7143160433351266
oct20125464667354
93835616515810
101111001100012
1139919a180291
1215b3a002b490
13809c7cc94cb
143bab6582b36
151dd766ab1ac
hex102acd36eec

1111001100012 has 72 divisors (see below), whose sum is σ = 2874824672720. Its totient is φ = 361576535040.

The previous prime is 1111001099987. The next prime is 1111001100017. The reversal of 1111001100012 is 2100011001111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1111001099967 and 1111001100003.

It is not an unprimeable number, because it can be changed into a prime (1111001100017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3760164 + ... + 4044852.

Almost surely, 21111001100012 is an apocalyptic number.

1111001100012 is a gapful number since it is divisible by the number (12) 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 1111001100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437412336360).

1111001100012 is an abundant number, since it is smaller than the sum of its proper divisors (1763823572708).

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

1111001100012 is a wasteful number, since it uses less digits than its factorization.

1111001100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287263 (or 287258 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1111001100012 its reverse (2100011001111), we get a palindrome (3211012101123).

The spelling of 1111001100012 in words is "one trillion, one hundred eleven billion, one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2521 5042 7563 10084 15126 22689 30252 45378 90756 108403 216806 284689 325209 433612 569378 650418 854067 975627 1138756 1300836 1708134 1951254 2562201 3416268 3902508 5124402 10248804 12241627 24483254 36724881 48966508 73449762 110174643 146899524 220349286 440698572 717700969 1435401938 2153102907 2870803876 4306205814 6459308721 8612411628 12918617442 25837234884 30861141667 61722283334 92583425001 123444566668 185166850002 277750275003 370333700004 555500550006 1111001100012