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233303230120 = 23536731587961
BaseRepresentation
bin1101100101000111110…
…1001100011010101000
3211022012022012001201211
43121101331030122220
512310301111330440
6255102241522504
722566320510242
oct3312175143250
9738168161654
10233303230120
118aa41655984
1239270943434
1319000b578bc
14b413107092
15610708ceea
hex3651f4c6a8

233303230120 has 32 divisors (see below), whose sum is σ = 525075514920. Its totient is φ = 93295825920.

The previous prime is 233303230117. The next prime is 233303230129. The reversal of 233303230120 is 21032303332.

233303230120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 205867283076 + 27435947044 = 453726^2 + 165638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233303230091 and 233303230100.

It is not an unprimeable number, because it can be changed into a prime (233303230129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647061 + ... + 940900.

Almost surely, 2233303230120 is an apocalyptic number.

233303230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233303230120 is an abundant number, since it is smaller than the sum of its proper divisors (291772284800).

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

233303230120 is a wasteful number, since it uses less digits than its factorization.

233303230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591645 (or 1591641 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 233303230120 its reverse (21032303332), we get a palindrome (254335533452).

The spelling of 233303230120 in words is "two hundred thirty-three billion, three hundred three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3673 7346 14692 18365 29384 36730 73460 146920 1587961 3175922 6351844 7939805 12703688 15879610 31759220 63518440 5832580753 11665161506 23330323012 29162903765 46660646024 58325807530 116651615060 233303230120