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11203365330 = 2325172569757
BaseRepresentation
bin10100110111100010…
…11100100111010010
31001220210002221000200
422123301130213102
5140421030142310
65051411000030
7544426014453
oct123361344722
931823087020
1011203365330
11482a00a213
122207b99016
1310970bc671
14783ccb12a
154588609c0
hex29bc5c9d2

11203365330 has 144 divisors (see below), whose sum is σ = 31038326280. Its totient is φ = 2803175424.

The previous prime is 11203365323. The next prime is 11203365331. The reversal of 11203365330 is 3356330211.

It is a happy number.

11203365330 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 3 + 3 + 653 + 3 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2509108281 + 8694257049 = 50091^2 + 93243^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11203365294 and 11203365303.

It is not an unprimeable number, because it can be changed into a prime (11203365331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14799312 + ... + 14800068.

Almost surely, 211203365330 is an apocalyptic number.

11203365330 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 11203365330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519163140).

11203365330 is an abundant number, since it is smaller than the sum of its proper divisors (19834960950).

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

11203365330 is a wasteful number, since it uses less digits than its factorization.

11203365330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 11203365330 its reverse (3356330211), we get a palindrome (14559695541).

The spelling of 11203365330 in words is "eleven billion, two hundred three million, three hundred sixty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 569 578 757 765 867 1138 1445 1514 1530 1707 1734 2271 2601 2845 2890 3414 3785 4335 4542 5121 5202 5690 6813 7570 8535 8670 9673 10242 11355 12869 13005 13626 17070 19346 22710 25605 25738 26010 29019 34065 38607 48365 51210 58038 64345 68130 77214 87057 96730 115821 128690 145095 164441 174114 193035 218773 231642 290190 328882 386070 430733 435285 437546 493323 579105 656319 822205 861466 870570 986646 1093865 1158210 1292199 1312638 1479969 1644410 1968957 2153665 2187730 2466615 2584398 2959938 3281595 3876597 3937914 4307330 4933230 6460995 6563190 7322461 7399845 7753194 9844785 12921990 14644922 14799690 19382985 19689570 21967383 36612305 38765970 43934766 65902149 73224610 109836915 124481837 131804298 219673830 248963674 329510745 373445511 622409185 659021490 746891022 1120336533 1244818370 1867227555 2240673066 3734455110 5601682665 11203365330