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232321300000 = 25552323213
BaseRepresentation
bin1101100001011101101…
…1011011011000100000
3211012122212111211211121
43120113123123120200
512301243223100000
6254421003422024
722533065316226
oct3302733333040
9735585454747
10232321300000
118a588354289
1239037b24914
1318ba55a646a
14b35c940b16
15609ac7ab1a
hex36176db620

232321300000 has 72 divisors (see below), whose sum is σ = 571691854692. Its totient is φ = 92928480000.

The previous prime is 232321299949. The next prime is 232321300031. The reversal of 232321300000 is 3123232.

232321300000 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 6 ways, for example, as 102095586576 + 130225713424 = 319524^2 + 360868^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1061607 + ... + 1261606.

Almost surely, 2232321300000 is an apocalyptic number.

232321300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232321300000 is an abundant number, since it is smaller than the sum of its proper divisors (339370554692).

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

232321300000 is an frugal number, since it uses more digits than its factorization.

232321300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323248 (or 2323220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 232321300000 its reverse (3123232), we get a palindrome (232324423232).

The spelling of 232321300000 in words is "two hundred thirty-two billion, three hundred twenty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 2323213 4646426 9292852 11616065 18585704 23232130 37171408 46464260 58080325 74342816 92928520 116160650 185857040 232321300 290401625 371714080 464642600 580803250 929285200 1161606500 1452008125 1858570400 2323213000 2904016250 4646426000 5808032500 7260040625 9292852000 11616065000 14520081250 23232130000 29040162500 46464260000 58080325000 116160650000 232321300000