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232531112000 = 26531114871777
BaseRepresentation
bin1101100010001111101…
…1110011000001000000
3211020012111022101210102
43120203323303001000
512302210431041000
6254453500421532
722541223561065
oct3304373630100
9736174271712
10232531112000
118a685829130
12390962478a8
1318c09bb7885
14b37c758c6c
1560ae3c23d5
hex3623ef3040

232531112000 has 224 divisors, whose sum is σ = 628990742016. Its totient is φ = 84452352000.

The previous prime is 232531111999. The next prime is 232531112059. The reversal of 232531112000 is 211135232.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 130855112 + ... + 130856888.

It is an arithmetic number, because the mean of its divisors is an integer number (2807994384).

Almost surely, 2232531112000 is an apocalyptic number.

232531112000 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 232531112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314495371008).

232531112000 is an abundant number, since it is smaller than the sum of its proper divisors (396459630016).

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

232531112000 is a wasteful number, since it uses less digits than its factorization.

232531112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 232531112000 its reverse (211135232), we get a palindrome (232742247232).

The spelling of 232531112000 in words is "two hundred thirty-two billion, five hundred thirty-one million, one hundred twelve thousand".