Search a number
-
+
330332321121330 = 235111995030186099
BaseRepresentation
bin100101100011011110111110…
…0101010001000010000110010
31121022121110110102110110100010
41023012331330222020100302
5321244131043201340310
63130320323502235350
7126402502601121243
oct11306757452102062
91538543412413303
10330332321121330
11962881725886a0
1231070749b85b56
1311242286896818
145b80253738cca
15282ca7d5b5320
hex12c6f7ca88432

330332321121330 has 64 divisors (see below), whose sum is σ = 869216158080000. Its totient is φ = 79678147792320.

The previous prime is 330332321121293. The next prime is 330332321121367. The reversal of 330332321121330 is 33121123233033.

It is an interprime number because it is at equal distance from previous prime (330332321121293) and next prime (330332321121367).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515027380 + ... + 2515158719.

It is an arithmetic number, because the mean of its divisors is an integer number (13581502470000).

Almost surely, 2330332321121330 is an apocalyptic number.

330332321121330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330332321121330 is an abundant number, since it is smaller than the sum of its proper divisors (538883836958670).

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

330332321121330 is a wasteful number, since it uses less digits than its factorization.

330332321121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030186319.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 330332321121330 its reverse (33121123233033), we get a palindrome (363453444354363).

The spelling of 330332321121330 in words is "three hundred thirty trillion, three hundred thirty-two billion, three hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 199 330 398 597 995 1194 1990 2189 2985 4378 5970 6567 10945 13134 21890 32835 65670 5030186099 10060372198 15090558297 25150930495 30181116594 50301860990 55332047089 75452791485 110664094178 150905582970 165996141267 276660235445 331992282534 553320470890 829980706335 1001007033701 1659961412670 2002014067402 3003021101103 5005035168505 6006042202206 10010070337010 11011077370711 15015105505515 22022154741422 30030211011030 33033232112133 55055386853555 66066464224266 110110773707110 165166160560665 330332321121330