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232003300033120 = 25571123235598179
BaseRepresentation
bin110100110000000101111010…
…010010010000001001100000
31010102110022001212202201102111
4310300011322102100021200
5220402120224302024440
62141232502240525104
766603454024232650
oct6460057222201140
91112408055681374
10232003300033120
1167a18057611990
122202b963920794
139c5ba818568c5
14414103bc48360
151bc4e119034ea
hexd3017a490260

232003300033120 has 288 divisors, whose sum is σ = 714358075979520. Its totient is φ = 69168683781120.

The previous prime is 232003300033081. The next prime is 232003300033129. The reversal of 232003300033120 is 21330003300232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 232003300033091 and 232003300033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232003300033129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11281810 + ... + 24316369.

It is an arithmetic number, because the mean of its divisors is an integer number (2480409986040).

Almost surely, 2232003300033120 is an apocalyptic number.

232003300033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232003300033120 is an abundant number, since it is smaller than the sum of its proper divisors (482354775946400).

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

232003300033120 is a wasteful number, since it uses less digits than its factorization.

232003300033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35598258 (or 35598227 counting only the distinct ones).

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

Adding to 232003300033120 its reverse (21330003300232), we get a palindrome (253333303333352).

The spelling of 232003300033120 in words is "two hundred thirty-two trillion, three billion, three hundred million, thirty-three thousand, one hundred twenty".