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232133143320 = 233251349999401
BaseRepresentation
bin1101100000110000110…
…1101010101100011000
3211012011202110111101200
43120030031222230120
512300402041041240
6254350202514200
722525322106411
oct3301415525430
9735152414350
10232133143320
118a4a11203a1
1238ba4b05960
1318b75607a50
14b341962808
1560894b0930
hex360c36ab18

232133143320 has 192 divisors, whose sum is σ = 814102380000. Its totient is φ = 57025382400.

The previous prime is 232133143279. The next prime is 232133143367. The reversal of 232133143320 is 23341331232.

232133143320 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 331 + 4 + 3 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

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, 2285620 + ... + 2385020.

Almost surely, 2232133143320 is an apocalyptic number.

232133143320 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 232133143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407051190000).

232133143320 is an abundant number, since it is smaller than the sum of its proper divisors (581969236680).

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

232133143320 is a wasteful number, since it uses less digits than its factorization.

232133143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99930 (or 99923 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232133143320 its reverse (23341331232), we get a palindrome (255474474552).

The spelling of 232133143320 in words is "two hundred thirty-two billion, one hundred thirty-three million, one hundred forty-three thousand, three hundred twenty".