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330103300 = 22524180513
BaseRepresentation
bin10011101011001…
…111101000000100
3212000010222121011
4103223033220010
51134001301200
652431132004
711115555202
oct2353175004
9760128534
10330103300
1115a37554a
1292674004
135350aac7
1431bac072
151dea85ba
hex13acfa04

330103300 has 36 divisors (see below), whose sum is σ = 733804596. Its totient is φ = 128819200.

The previous prime is 330103273. The next prime is 330103309. The reversal of 330103300 is 3301033.

330103300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 163021824 + 167081476 = 12768^2 + 12926^2 .

330103300 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (330103309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36157 + ... + 44356.

It is an arithmetic number, because the mean of its divisors is an integer number (20383461).

Almost surely, 2330103300 is an apocalyptic number.

It is an amenable number.

330103300 is an abundant number, since it is smaller than the sum of its proper divisors (403701296).

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

330103300 is a wasteful number, since it uses less digits than its factorization.

330103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80568 (or 80561 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 330103300 is about 18168.7451410382. The cubic root of 330103300 is about 691.1144212079.

Adding to 330103300 its reverse (3301033), we get a palindrome (333404333).

330103300 divided by its reverse (3301033) gives a square (100 = 102).

The spelling of 330103300 in words is "three hundred thirty million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 80513 161026 322052 402565 805130 1610260 2012825 3301033 4025650 6602066 8051300 13204132 16505165 33010330 66020660 82525825 165051650 330103300