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1103323312 = 247131939883
BaseRepresentation
bin100000111000011…
…0110000010110000
32211220002122001101
41001300312002300
54224422321222
6301252014144
736225044020
oct10160660260
92756078041
101103323312
11516885153
12269601354
13147775540
14a6765a80
1566ce0927
hex41c360b0

1103323312 has 80 divisors (see below), whose sum is σ = 2769544960. Its totient is φ = 413496576.

The previous prime is 1103323301. The next prime is 1103323339. The reversal of 1103323312 is 2133233011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1103323312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7723 + ... + 47605.

It is an arithmetic number, because the mean of its divisors is an integer number (34619312).

Almost surely, 21103323312 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 1103323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384772480).

1103323312 is an abundant number, since it is smaller than the sum of its proper divisors (1666221648).

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

1103323312 is a wasteful number, since it uses less digits than its factorization.

1103323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39930 (or 39924 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1103323312 is about 33216.3109330341. The cubic root of 1103323312 is about 1033.3186426863.

Adding to 1103323312 its reverse (2133233011), we get a palindrome (3236556323).

It can be divided in two parts, 1103 and 323312, that added together give a triangular number (324415 = T805).

The spelling of 1103323312 in words is "one billion, one hundred three million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 6916 13832 27664 39883 79766 159532 279181 319064 518479 558362 638128 757777 1036958 1116724 1515554 2073916 2233448 3031108 3629353 4147832 4466896 5304439 6062216 7258706 8295664 9851101 10608878 12124432 14517412 19702202 21217756 29034824 39404404 42435512 58069648 68957707 78808808 84871024 137915414 157617616 275830828 551661656 1103323312