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11003013312330 = 23513151346753891
BaseRepresentation
bin1010000000011101011010…
…1100110010111101001010
31102221212200220201210201210
42200013112230302331022
52420233132401443310
635222414201153550
72213640633002424
oct240072654627512
942855626653653
1011003013312330
113562396192086
12129855aa8b8b6
1361a76c7b99c0
142a0797845814
15141330ecc820
hexa01d6b32f4a

11003013312330 has 128 divisors (see below), whose sum is σ = 28635680618496. Its totient is φ = 2689671456000.

The previous prime is 11003013312329. The next prime is 11003013312359. The reversal of 11003013312330 is 3321331030011.

It is a super-2 number, since 2×110030133123302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11003013312297 and 11003013312306.

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, 204144685 + ... + 204198575.

It is an arithmetic number, because the mean of its divisors is an integer number (223716254832).

Almost surely, 211003013312330 is an apocalyptic number.

11003013312330 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 11003013312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317840309248).

11003013312330 is an abundant number, since it is smaller than the sum of its proper divisors (17632667306166).

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

11003013312330 is a wasteful number, since it uses less digits than its factorization.

11003013312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57532.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11003013312330 its reverse (3321331030011), we get a palindrome (14324344342341).

The spelling of 11003013312330 in words is "eleven trillion, three billion, thirteen million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 151 195 302 390 453 755 906 1510 1963 2265 3467 3926 4530 5889 6934 9815 10401 11778 17335 19630 20802 29445 34670 45071 52005 53891 58890 90142 104010 107782 135213 161673 225355 269455 270426 323346 450710 523517 538910 676065 700583 808365 1047034 1352130 1401166 1570551 1616730 2101749 2617585 3141102 3502915 4203498 5235170 6805721 7005830 7852755 8137541 10508745 13611442 15705510 16275082 20417163 21017490 24412623 34028605 40687705 40834326 48825246 68057210 81375410 102085815 105788033 122063115 186840097 204171630 211576066 244126230 317364099 373680194 528940165 560520291 634728198 934200485 1057880330 1121040582 1586820495 1868400970 2428921261 2802601455 3173640990 4857842522 5605202910 7286763783 12144606305 14573527566 24289212610 28212854647 36433818915 56425709294 72867637830 84638563941 141064273235 169277127882 282128546470 366767110411 423192819705 733534220822 846385639410 1100301331233 1833835552055 2200602662466 3667671104110 5501506656165 11003013312330