Search a number
-
+
1000110100112 = 24170873365809
BaseRepresentation
bin11101000110110110011…
…01010000111010010000
310112121110101121002102222
432203123031100322100
5112341211141200422
62043235542200212
7132153442405424
oct16433315207220
93477411532388
101000110100112
11356165095822
121419b2a23068
1373405037636
1436596d06b84
151b036263842
hexe8db350e90

1000110100112 has 20 divisors (see below), whose sum is σ = 1937729956140. Its totient is φ = 500050756608.

The previous prime is 1000110100063. The next prime is 1000110100139. The reversal of 1000110100112 is 2110010110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 551419115776 + 448690984336 = 742576^2 + 669844^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1000110100112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2551064 + ... + 2916872.

It is an arithmetic number, because the mean of its divisors is an integer number (96886497807).

Almost surely, 21000110100112 is an apocalyptic number.

It is an amenable number.

1000110100112 is a deficient number, since it is larger than the sum of its proper divisors (937619856028).

1000110100112 is a wasteful number, since it uses less digits than its factorization.

1000110100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536690 (or 536684 counting only the distinct ones).

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

Adding to 1000110100112 its reverse (2110010110001), we get a palindrome (3110120210113).

The spelling of 1000110100112 in words is "one trillion, one hundred ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 170873 341746 365809 683492 731618 1366984 1463236 2733968 2926472 5852944 62506881257 125013762514 250027525028 500055050056 1000110100112