Search a number
-
+
330332130012330 = 23351483182492909
BaseRepresentation
bin100101100011011110111000…
…1010001000110110010101010
31121022121102222002212010002000
41023012331301101012302222
5321244130200240343310
63130320252514151430
7126402465060534165
oct11306756121066252
91538542862763060
10330332130012330
1196288084718676
12310706b5b82576
1311242256103384
145b802361ccadc
15282ca6b9154c0
hex12c6f71446caa

330332130012330 has 64 divisors (see below), whose sum is σ = 880945085606400. Its totient is φ = 88082627446080.

The previous prime is 330332130012323. The next prime is 330332130012377. The reversal of 330332130012330 is 33210031233033.

330332130012330 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 3 + 21 + 300 + 1 + 2 + 330 = 666.

It is a super-2 number, since 2×3303321300123302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330332130012294 and 330332130012303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37242085 + ... + 45250824.

It is an arithmetic number, because the mean of its divisors is an integer number (13764766962600).

Almost surely, 2330332130012330 is an apocalyptic number.

330332130012330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330332130012330 is an abundant number, since it is smaller than the sum of its proper divisors (550612955594070).

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

330332130012330 is a wasteful number, since it uses less digits than its factorization.

330332130012330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82507756 (or 82507750 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330332130012330 its reverse (33210031233033), we get a palindrome (363542161245363).

The spelling of 330332130012330 in words is "three hundred thirty trillion, three hundred thirty-two billion, one hundred thirty million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 14831 29662 44493 74155 88986 133479 148310 222465 266958 400437 444930 667395 800874 1334790 2002185 4004370 82492909 164985818 247478727 412464545 494957454 742436181 824929090 1237393635 1484872362 2227308543 2474787270 3712180905 4454617086 7424361810 11136542715 22273085430 1223452333379 2446904666758 3670357000137 6117261666895 7340714000274 11011071000411 12234523333790 18351785000685 22022142000822 33033213001233 36703570001370 55055355002055 66066426002466 110110710004110 165166065006165 330332130012330