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1104331242321 = 34173724791223
BaseRepresentation
bin10000000100011111010…
…001010111101101010001
310220120110202001200020000
4100010133101113231101
5121043132244223241
62203153415040213
7142533233452116
oct20043721275521
93816422050200
101104331242321
113963872184aa
1215a03a370069
13801a4216058
143b64280490d
151dad5d56eb6
hex1011f457b51

1104331242321 has 120 divisors (see below), whose sum is σ = 1800423313920. Its totient is φ = 672228730368.

The previous prime is 1104331242293. The next prime is 1104331242331. The reversal of 1104331242321 is 1232421334011.

1104331242321 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 331 + 2 + 4 + 2 + 321 = 666.

It is not a de Polignac number, because 1104331242321 - 26 = 1104331242257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1104331242331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 902968516 + ... + 902969738.

It is an arithmetic number, because the mean of its divisors is an integer number (15003527616).

Almost surely, 21104331242321 is an apocalyptic number.

It is an amenable number.

1104331242321 is a deficient number, since it is larger than the sum of its proper divisors (696092071599).

1104331242321 is a wasteful number, since it uses less digits than its factorization.

1104331242321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1104331242321 its reverse (1232421334011), we get a palindrome (2336752576332).

The spelling of 1104331242321 in words is "one trillion, one hundred four billion, three hundred thirty-one million, two hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 17 27 37 51 81 111 153 333 459 479 629 999 1223 1369 1377 1437 1887 2997 3669 4107 4311 5661 8143 11007 12321 12933 16983 17723 20791 23273 24429 33021 36963 38799 45251 50949 53169 62373 69819 73287 99063 110889 135753 159507 187119 209457 219861 301291 407259 478521 561357 585817 628371 655751 659583 769267 903873 1221777 1435563 1674287 1684071 1757451 1885113 1967253 2307801 2711619 3665331 5022861 5272353 5901759 6923403 8134857 9958889 11147767 15068583 15817059 17705277 20770209 21675229 24404571 28462879 29876667 33443301 45205749 47451177 53115831 62310627 65025687 85388637 89630001 100329903 135617247 195077061 256165911 268890003 300989709 368478893 585231183 768497733 801983473 806670009 902969127 1105436679 1755693549 2305493199 2405950419 3316310037 7217851257 9948930111 13633719041 21653553771 29846790333 40901157123 64960661313 122703471369 368110414107 1104331242321