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11554362110130 = 235732917384941
BaseRepresentation
bin1010100000100011010110…
…1001100011000010110010
31111220120211100202201100020
42220020311221203002302
53003301313200011010
640324000051304310
72301526602315000
oct250106551430262
944816740681306
1011554362110130
1137551a520a354
1213673905ab096
1365a757c695a8
142bd33c57da70
1515084ead4470
hexa8235a630b2

11554362110130 has 128 divisors (see below), whose sum is σ = 32349909772800. Its totient is φ = 2640084814080.

The previous prime is 11554362110129. The next prime is 11554362110143. The reversal of 11554362110130 is 3101126345511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11554362110091 and 11554362110100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29823460 + ... + 30208400.

It is an arithmetic number, because the mean of its divisors is an integer number (252733670100).

Almost surely, 211554362110130 is an apocalyptic number.

11554362110130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11554362110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174954886400).

11554362110130 is an abundant number, since it is smaller than the sum of its proper divisors (20795547662670).

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

11554362110130 is a wasteful number, since it uses less digits than its factorization.

11554362110130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387889 (or 387875 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 11554362110130 its reverse (3101126345511), we get a palindrome (14655488455641).

The spelling of 11554362110130 in words is "eleven trillion, five hundred fifty-four billion, three hundred sixty-two million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 2917 3430 5145 5834 8751 10290 14585 17502 20419 29170 40838 43755 61257 87510 102095 122514 142933 204190 285866 306285 384941 428799 612570 714665 769882 857598 1000531 1154823 1429330 1924705 2001062 2143995 2309646 2694587 3001593 3849410 4287990 5002655 5389174 5774115 6003186 8083761 10005310 11548230 13472935 15007965 16167522 18862109 26945870 30015930 37724218 40418805 56586327 80837610 94310545 113172654 132034763 188621090 264069526 282931635 396104289 565863270 660173815 792208578 1122872897 1320347630 1980521445 2245745794 3368618691 3961042890 5614364485 6737237382 7860110279 11228728970 15720220558 16843093455 23580330837 33686186910 39300551395 47160661674 55020771953 78601102790 110041543906 117901654185 165062315859 235803308370 275103859765 330124631718 385145403671 550207719530 770290807342 825311579295 1155436211013 1650623158590 1925727018355 2310872422026 3851454036710 5777181055065 11554362110130