Search a number
-
+
330301304112340 = 225118531760104999
BaseRepresentation
bin100101100011010000100001…
…1111001101000010011010100
31121022111111101210111010220101
41023012201003321220103110
5321243124032323043330
63130254154020143444
7126400324141650511
oct11306410371502324
91538444353433811
10330301304112340
1196275aa6263770
1231066732537b84
131123c3828ba672
145b7c9501d6308
15282bd6554a4ca
hex12c6843e684d4

330301304112340 has 48 divisors (see below), whose sum is σ = 757577353680000. Its totient is φ = 119968756663680.

The previous prime is 330301304112191. The next prime is 330301304112361. The reversal of 330301304112340 is 43211403103033.

It is a junction number, because it is equal to n+sod(n) for n = 330301304112299 and 330301304112308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879864840 + ... + 880240159.

It is an arithmetic number, because the mean of its divisors is an integer number (15782861535000).

Almost surely, 2330301304112340 is an apocalyptic number.

It is an amenable number.

330301304112340 is an abundant number, since it is smaller than the sum of its proper divisors (427276049567660).

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

330301304112340 is a wasteful number, since it uses less digits than its factorization.

330301304112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760105872 (or 1760105870 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 330301304112340 its reverse (43211403103033), we get a palindrome (373512707215373).

The spelling of 330301304112340 in words is "three hundred thirty trillion, three hundred one billion, three hundred four million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 853 1706 3412 4265 8530 9383 17060 18766 37532 46915 93830 187660 1760104999 3520209998 7040419996 8800524995 17601049990 19361154989 35202099980 38722309978 77444619956 96805774945 193611549890 387223099780 1501369564147 3002739128294 6005478256588 7506847820735 15013695641470 16515065205617 30027391282940 33030130411234 66060260822468 82575326028085 165150652056170 330301304112340