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1100111012 = 2271113318863
BaseRepresentation
bin100000110010010…
…0101110010100100
32211200001102121022
41001210211302210
54223112023022
6301055110312
736155534510
oct10144456244
92750042538
101100111012
11514a90760
12268512398
13146bbc380
14a616b140
15668a8c42
hex41925ca4

1100111012 has 96 divisors (see below), whose sum is σ = 2668560384. Its totient is φ = 382838400.

The previous prime is 1100111003. The next prime is 1100111029. The reversal of 1100111012 is 2101110011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119693 + ... + 128555.

It is an arithmetic number, because the mean of its divisors is an integer number (27797504).

Almost surely, 21100111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334280192).

1100111012 is an abundant number, since it is smaller than the sum of its proper divisors (1568449372).

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

1100111012 is a wasteful number, since it uses less digits than its factorization.

1100111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1100111012 is about 33167.9214302012. The cubic root of 1100111012 is about 1032.3148401913.

Adding to 1100111012 its reverse (2101110011), we get a palindrome (3201221023).

The spelling of 1100111012 in words is "one billion, one hundred million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 308 341 364 403 434 572 682 806 868 1001 1364 1612 2002 2387 2821 4004 4433 4774 5642 8863 8866 9548 11284 17726 17732 31031 35452 62041 62062 97493 115219 124082 124124 194986 230438 248164 274753 389972 460876 549506 682451 806533 1099012 1267409 1364902 1613066 1923271 2534818 2729804 3022283 3226132 3571789 3846542 5069636 6044566 7143578 7693084 8871863 12089132 14287156 17743726 21155981 25002523 35487452 39289679 42311962 50005046 78579358 84623924 100010092 157158716 275027753 550055506 1100111012