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11333041104 = 24371110728657
BaseRepresentation
bin10101000111000000…
…00111101111010000
31002020211010010202010
422203200013233100
5141202224303404
65112322222520
7550562155110
oct124340075720
932224103663
1011333041104
11489622a580
1222434b4a40
1310b7c236a8
14797205040
15464e28189
hex2a3807bd0

11333041104 has 160 divisors (see below), whose sum is σ = 36843641856. Its totient is φ = 2916034560.

The previous prime is 11333041103. The next prime is 11333041121. The reversal of 11333041104 is 40114033311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333041103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381144 + ... + 409800.

Almost surely, 211333041104 is an apocalyptic number.

11333041104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11333041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421820928).

11333041104 is an abundant number, since it is smaller than the sum of its proper divisors (25510600752).

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

11333041104 is a wasteful number, since it uses less digits than its factorization.

11333041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28793 (or 28787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11333041104 its reverse (40114033311), we get a palindrome (51447074415).

The spelling of 11333041104 in words is "eleven billion, three hundred thirty-three million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 107 112 132 154 168 176 214 231 264 308 321 336 428 462 528 616 642 749 856 924 1177 1232 1284 1498 1712 1848 2247 2354 2568 2996 3531 3696 4494 4708 5136 5992 7062 8239 8988 9416 11984 14124 16478 17976 18832 24717 28248 28657 32956 35952 49434 56496 57314 65912 85971 98868 114628 131824 171942 197736 200599 229256 315227 343884 395472 401198 458512 601797 630454 687768 802396 945681 1203594 1260908 1375536 1604792 1891362 2206589 2407188 2521816 3066299 3209584 3782724 4413178 4814376 5043632 6132598 6619767 7565448 8826356 9198897 9628752 12265196 13239534 15130896 17652712 18397794 21464093 24530392 26479068 33729289 35305424 36795588 42928186 49060784 52958136 64392279 67458578 73591176 85856372 101187867 105916272 128784558 134917156 147182352 171712744 202375734 236105023 257569116 269834312 343425488 404751468 472210046 515138232 539668624 708315069 809502936 944420092 1030276464 1416630138 1619005872 1888840184 2833260276 3777680368 5666520552 11333041104