Search a number
-
+
1104133311324 = 2232414368325471
BaseRepresentation
bin10000000100010011011…
…110010100101101011100
310220112221221121201221100
4100010103132110231130
5121042231111430244
62203122024433100
7142525311202611
oct20042336245534
93815857551840
101104133311324
11396295518a6a
12159ba4018790
1380172204714
143b624400508
151dac37aab69
hex10113794b5c

1104133311324 has 144 divisors (see below), whose sum is σ = 2929965502464. Its totient is φ = 350190086400.

The previous prime is 1104133311301. The next prime is 1104133311331. The reversal of 1104133311324 is 4231133314011.

1104133311324 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 1 + 3 + 331 + 1 + 324 = 666.

It is a super-2 number, since 2×11041333113242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43335909 + ... + 43361379.

It is an arithmetic number, because the mean of its divisors is an integer number (20346982656).

Almost surely, 21104133311324 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 1104133311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464982751232).

1104133311324 is an abundant number, since it is smaller than the sum of its proper divisors (1825832191140).

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

1104133311324 is a wasteful number, since it uses less digits than its factorization.

1104133311324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26248 (or 26243 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1104133311324 its reverse (4231133314011), we get a palindrome (5335266625335).

The spelling of 1104133311324 in words is "one trillion, one hundred four billion, one hundred thirty-three million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 43 82 86 123 129 164 172 246 258 369 387 492 516 683 738 774 1366 1476 1548 1763 2049 2732 3526 4098 5289 6147 7052 8196 10578 12294 15867 21156 24588 25471 28003 29369 31734 50942 56006 58738 63468 76413 84009 88107 101884 112012 117476 152826 168018 176214 229239 252027 264321 305652 336036 352428 458478 504054 528642 916956 1008108 1044311 1057284 1095253 1204129 2088622 2190506 2408258 3132933 3285759 3612387 4177244 4381012 4816516 6265866 6571518 7224774 9398799 9857277 10837161 12531732 13143036 14449548 17396693 18797598 19714554 21674322 34793386 37595196 39429108 43348644 44905373 52190079 69586772 89810746 104380158 134716119 156570237 179621492 208760316 269432238 313140474 404148357 538864476 626280948 713264413 748057799 808296714 1426528826 1496115598 1616593428 2139793239 2244173397 2853057652 2992231196 4279586478 4488346794 6419379717 6732520191 8559172956 8976693588 12838759434 13465040382 25677518868 26930080764 30670369759 61340739518 92011109277 122681479036 184022218554 276033327831 368044437108 552066655662 1104133311324