Search a number
-
+
330303010113330 = 235235691843345641
BaseRepresentation
bin100101100011010001010100…
…1100101100000011100110010
31121022111122210200121222022020
41023012202221211200130302
5321243141031042111310
63130255035201452310
7126400414335505362
oct11306425145403462
91538448720558266
10330303010113330
11962767a1255541
1231066b29941096
131123c5951884c7
145b7ca72a009a2
15282be151d7170
hex12c68a9960732

330303010113330 has 128 divisors (see below), whose sum is σ = 828710503994880. Its totient is φ = 84096728432640.

The previous prime is 330303010113319. The next prime is 330303010113331. The reversal of 330303010113330 is 33311010303033.

It is a self number, because there is not a number n which added to its sum of digits gives 330303010113330.

It is not an unprimeable number, because it can be changed into a prime (330303010113331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7236957310 + ... + 7237002950.

It is an arithmetic number, because the mean of its divisors is an integer number (6474300812460).

Almost surely, 2330303010113330 is an apocalyptic number.

330303010113330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330303010113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414355251997440).

330303010113330 is an abundant number, since it is smaller than the sum of its proper divisors (498407493881550).

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

330303010113330 is a wasteful number, since it uses less digits than its factorization.

330303010113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64676.

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 330303010113330 its reverse (33311010303033), we get a palindrome (363614020416363).

The spelling of 330303010113330 in words is "three hundred thirty trillion, three hundred three billion, ten million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 569 690 1138 1707 2845 3414 5690 8535 13087 17070 18433 26174 36866 39261 45641 55299 65435 78522 91282 92165 110598 130870 136923 184330 196305 228205 273846 276495 392610 423959 456410 552990 684615 847918 1049743 1271877 1369230 2099486 2119795 2543754 3149229 4239590 5248715 6298458 6359385 10488377 10497430 12718770 15746145 20976754 25969729 31465131 31492290 51939458 52441885 62930262 77909187 104883770 129848645 155818374 157325655 241232671 259697290 314651310 389545935 482465342 597303767 723698013 779091870 841300553 1194607534 1206163355 1447396026 1682601106 1791911301 2412326710 2523901659 2986518835 3583822602 3618490065 4206502765 5047803318 5973037670 7236980130 8413005530 8959556505 12619508295 17919113010 19349912719 25239016590 38699825438 58049738157 96749563595 116099476314 193499127190 290248690785 478700014657 580497381570 957400029314 1436100043971 2393500073285 2872200087942 4787000146570 7180500219855 11010100337111 14361000439710 22020200674222 33030301011333 55050501685555 66060602022666 110101003371110 165151505056665 330303010113330