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233312131120 = 2452916401639
BaseRepresentation
bin1101100101001001111…
…1001001100000110000
3211022012220221021121111
43121102133021200300
512310310401143440
6255103200403104
722566456251545
oct3312237114060
9738186837544
10233312131120
118aa46685382
1239273916494
1319002953173
14b414382bcc
156107c4a4ea
hex36527c9830

233312131120 has 20 divisors (see below), whose sum is σ = 542450705040. Its totient is φ = 93324852416.

The previous prime is 233312131099. The next prime is 233312131139. The reversal of 233312131120 is 21131213332.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 233312131091 and 233312131100.

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 3 ways as a sum of consecutive naturals, for example, 1458200740 + ... + 1458200899.

It is an arithmetic number, because the mean of its divisors is an integer number (27122535252).

Almost surely, 2233312131120 is an apocalyptic number.

233312131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233312131120 is an abundant number, since it is smaller than the sum of its proper divisors (309138573920).

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

233312131120 is a wasteful number, since it uses less digits than its factorization.

233312131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916401652 (or 2916401646 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233312131120 its reverse (21131213332), we get a palindrome (254443344452).

The spelling of 233312131120 in words is "two hundred thirty-three billion, three hundred twelve million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2916401639 5832803278 11665606556 14582008195 23331213112 29164016390 46662426224 58328032780 116656065560 233312131120