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1100113144 = 231329364759
BaseRepresentation
bin100000110010010…
…0110010011111000
32211200001112112021
41001210212103320
54223112110034
6301055124224
736155543644
oct10144462370
92750045467
101100113144
11514a92319
12268513674
13146bc0330
14a616bc24
15668a96b4
hex419264f8

1100113144 has 32 divisors (see below), whose sum is σ = 2297988000. Its totient is φ = 490234752.

The previous prime is 1100113127. The next prime is 1100113169. The reversal of 1100113144 is 4413110011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179364 + ... + 185395.

It is an arithmetic number, because the mean of its divisors is an integer number (71812125).

Almost surely, 21100113144 is an apocalyptic number.

It is an amenable number.

1100113144 is an abundant number, since it is smaller than the sum of its proper divisors (1197874856).

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

1100113144 is a wasteful number, since it uses less digits than its factorization.

1100113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364807 (or 364803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1100113144 is about 33167.9535696732. The cubic root of 1100113144 is about 1032.3155070616.

Adding to 1100113144 its reverse (4413110011), we get a palindrome (5513223155).

It can be divided in two parts, 1100 and 113144, that added together give a square (114244 = 3382).

The spelling of 1100113144 in words is "one billion, one hundred million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 364759 729518 1459036 2918072 4741867 9483734 10578011 18967468 21156022 37934936 42312044 84624088 137514143 275028286 550056572 1100113144