Search a number
-
+
1101011112 = 233273209477
BaseRepresentation
bin100000110100000…
…0001100010101000
32211201202011022100
41001220001202220
54223324323422
6301130253400
736166303635
oct10150014250
92751664270
101101011112
11515545a43
12268887260
13147145c86
14a632318c
15669d57ac
hex41a018a8

1101011112 has 48 divisors (see below), whose sum is σ = 3022767540. Its totient is φ = 361974528.

The previous prime is 1101011083. The next prime is 1101011113. The reversal of 1101011112 is 2111101011.

It can be written as a sum of positive squares in 2 ways, for example, as 1093360356 + 7650756 = 33066^2 + 2766^2 .

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 = 1101011094 and 1101011103.

It is not an unprimeable number, because it can be changed into a prime (1101011113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99483 + ... + 109994.

Almost surely, 21101011112 is an apocalyptic number.

1101011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101011112 is an abundant number, since it is smaller than the sum of its proper divisors (1921756428).

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

1101011112 is a wasteful number, since it uses less digits than its factorization.

1101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209562 (or 209555 counting only the distinct ones).

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

The square root of 1101011112 is about 33181.4874892612. The cubic root of 1101011112 is about 1032.5963067208.

Adding to 1101011112 its reverse (2111101011), we get a palindrome (3212112123).

It can be divided in two parts, 11010 and 11112, that added together give a palindrome (22122).

The spelling of 1101011112 in words is "one billion, one hundred one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 209477 418954 628431 837908 1256862 1675816 1885293 2513724 3770586 5027448 7541172 15082344 15291821 30583642 45875463 61167284 91750926 122334568 137626389 183501852 275252778 367003704 550505556 1101011112