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1104111324 = 223842071
BaseRepresentation
bin100000111001111…
…0110011011011100
32211221120200000000
41001303312123130
54230123030244
6301320534300
736234535311
oct10163663334
92757520000
101104111324
115172731a8
12269921390
13147990114
14a68ccd08
1566de9169
hex41cf66dc

1104111324 has 54 divisors (see below), whose sum is σ = 2898213864. Its totient is φ = 368028360.

The previous prime is 1104111311. The next prime is 1104111329. The reversal of 1104111324 is 4231114011.

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-4 number, since 4×11041113244 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1104111297 and 1104111306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104111329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5209 + ... + 47279.

Almost surely, 21104111324 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 1104111324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449106932).

1104111324 is an abundant number, since it is smaller than the sum of its proper divisors (1794102540).

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

1104111324 is an frugal number, since it uses more digits than its factorization.

1104111324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42099 (or 42076 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1104111324 is about 33228.1706387818. The cubic root of 1104111324 is about 1033.5645886400.

Adding to 1104111324 its reverse (4231114011), we get a palindrome (5335225335).

The spelling of 1104111324 in words is "one billion, one hundred four million, one hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 42071 84142 126213 168284 252426 378639 504852 757278 1135917 1514556 2271834 3407751 4543668 6815502 10223253 13631004 20446506 30669759 40893012 61339518 92009277 122679036 184018554 276027831 368037108 552055662 1104111324