Search a number
-
+
13033321020330 = 23513295209221227
BaseRepresentation
bin1011110110101000111001…
…1110000011101110101010
31201010222021112212202002120
42331222032132003232222
53202014220140122310
643415231445412110
72513424562531302
oct275521636035652
951128245782076
1013033321020330
114175444a35526
121565b40a0a036
137370630b24b0
14330b5d55c602
1517905eb16b70
hexbda8e783baa

13033321020330 has 128 divisors (see below), whose sum is σ = 34854559891200. Its totient is φ = 3096965781504.

The previous prime is 13033321020329. The next prime is 13033321020449. The reversal of 13033321020330 is 3302012333031.

It is a self number, because there is not a number n which added to its sum of digits gives 13033321020330.

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, 58803177 + ... + 59024403.

It is an arithmetic number, because the mean of its divisors is an integer number (272301249150).

Almost surely, 213033321020330 is an apocalyptic number.

13033321020330 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 13033321020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427279945600).

13033321020330 is an abundant number, since it is smaller than the sum of its proper divisors (21821238870870).

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

13033321020330 is a wasteful number, since it uses less digits than its factorization.

13033321020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226488.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13033321020330 its reverse (3302012333031), we get a palindrome (16335333353361).

The spelling of 13033321020330 in words is "thirteen trillion, thirty-three billion, three hundred twenty-one million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5209 5655 10418 11310 15627 26045 31254 52090 67717 78135 135434 151061 156270 203151 221227 302122 338585 406302 442454 453183 663681 677170 755305 906366 1015755 1106135 1327362 1510610 1963793 2031510 2212270 2265915 2875951 3318405 3927586 4531830 5751902 5891379 6415583 6636810 8627853 9818965 11782758 12831166 14379755 17255706 19246749 19637930 28759510 29456895 32077915 38493498 43139265 58913790 64155830 83402579 86278530 96233745 166805158 192467490 250207737 417012895 500415474 834025790 1152371443 1251038685 2304742886 2502077370 3457114329 5761857215 6914228658 11523714430 14980828759 17285571645 29961657518 33418771847 34571143290 44942486277 66837543694 74904143795 89884972554 100256315541 149808287590 167093859235 200512631082 224712431385 334187718470 434444034011 449424862770 501281577705 868888068022 1002563155410 1303332102033 2172220170055 2606664204066 4344440340110 6516660510165 13033321020330