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232023021300 = 2232527215134843
BaseRepresentation
bin1101100000010110100…
…1100101011011110100
3211011220002020201101100
43120011221211123310
512300140343140200
6254331230330100
722522514066100
oct3300551453364
9734802221340
10232023021300
118a444a46064
1238b74059930
1318b5885bca5
14b331098900
15607e9abd00
hex3605a656f4

232023021300 has 324 divisors, whose sum is σ = 851627221536. Its totient is φ = 52681104000.

The previous prime is 232023021299. The next prime is 232023021313. The reversal of 232023021300 is 3120320232.

It is a happy number.

232023021300 is a `hidden beast` number, since 2 + 320 + 23 + 0 + 21 + 300 = 666.

232023021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 6641679 + ... + 6676521.

Almost surely, 2232023021300 is an apocalyptic number.

232023021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232023021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425813610768).

232023021300 is an abundant number, since it is smaller than the sum of its proper divisors (619604200236).

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

232023021300 is a wasteful number, since it uses less digits than its factorization.

232023021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35028 (or 35011 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232023021300 its reverse (3120320232), we get a palindrome (235143341532).

The spelling of 232023021300 in words is "two hundred thirty-two billion, twenty-three million, twenty-one thousand, three hundred".