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12031331232 = 253137914791
BaseRepresentation
bin10110011010001111…
…11000101110100000
31011001111001221201110
423031013320232200
5144120010044412
65305505103320
7604101425304
oct131507705640
934044057643
1012031331232
115114411258
1223b9327b40
1311997b470b
14821c55d04
154a63add3c
hex2cd1f8ba0

12031331232 has 48 divisors (see below), whose sum is σ = 31812806592. Its totient is φ = 3981166080.

The previous prime is 12031331209. The next prime is 12031331281. The reversal of 12031331232 is 23213313021.

12031331232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12031331199 and 12031331208.

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 7 ways as a sum of consecutive naturals, for example, 444244 + ... + 470547.

It is an arithmetic number, because the mean of its divisors is an integer number (662766804).

Almost surely, 212031331232 is an apocalyptic number.

12031331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031331232 is an abundant number, since it is smaller than the sum of its proper divisors (19781475360).

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

12031331232 is a wasteful number, since it uses less digits than its factorization.

12031331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914941 (or 914933 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12031331232 its reverse (23213313021), we get a palindrome (35244644253).

The spelling of 12031331232 in words is "twelve billion, thirty-one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 13152 914791 1829582 2744373 3659164 5488746 7318328 10977492 14636656 21954984 29273312 43909968 87819936 125326367 250652734 375979101 501305468 751958202 1002610936 1503916404 2005221872 3007832808 4010443744 6015665616 12031331232