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12331230032 = 2411261104417
BaseRepresentation
bin10110111101111111…
…11010001101010000
31011211101101101112102
423132333322031100
5200223243330112
65355341015532
7614402503652
oct133677721520
934741341472
1012331230032
115258726700
1224818545a8
131216978424
1484da006d2
154c289cbc2
hex2deffa350

12331230032 has 60 divisors (see below), whose sum is σ = 26691955668. Its totient is φ = 5513164800.

The previous prime is 12331230031. The next prime is 12331230047. The reversal of 12331230032 is 23003213321.

It can be written as a sum of positive squares in 2 ways, for example, as 1077414976 + 11253815056 = 32824^2 + 106084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12331229986 and 12331230013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331230031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65888 + ... + 170304.

Almost surely, 212331230032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345977834).

12331230032 is an abundant number, since it is smaller than the sum of its proper divisors (14360725636).

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

12331230032 is a wasteful number, since it uses less digits than its factorization.

12331230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104508 (or 104491 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12331230032 its reverse (23003213321), we get a palindrome (35334443353).

The spelling of 12331230032 in words is "twelve billion, three hundred thirty-one million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 61 88 121 122 176 242 244 484 488 671 968 976 1342 1936 2684 5368 7381 10736 14762 29524 59048 104417 118096 208834 417668 835336 1148587 1670672 2297174 4594348 6369437 9188696 12634457 12738874 18377392 25268914 25477748 50537828 50955496 70063807 101075656 101910992 140127614 202151312 280255228 560510456 770701877 1121020912 1541403754 3082807508 6165615016 12331230032