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12031013303232 = 26371117409117041
BaseRepresentation
bin1010111100010011000001…
…0001100011001111000000
31120121011011000002010212220
42233010300101203033000
53034104003401200412
641330545440451040
72351132503520130
oct257046021431700
946534130063786
1012031013303232
1139193623a8620
121423836019a80
1369369a99c0a1
142d8438838ac0
1515ce4a9a768c
hexaf1304633c0

12031013303232 has 448 divisors, whose sum is σ = 42124333409280. Its totient is φ = 2933902540800.

The previous prime is 12031013303191. The next prime is 12031013303237. The reversal of 12031013303232 is 23230331013021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×120310133032322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031013303237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102734632 + ... + 102851672.

Almost surely, 212031013303232 is an apocalyptic number.

12031013303232 is a gapful number since it is divisible by the number (12) 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 12031013303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062166704640).

12031013303232 is an abundant number, since it is smaller than the sum of its proper divisors (30093320106048).

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

12031013303232 is a wasteful number, since it uses less digits than its factorization.

12031013303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117500 (or 117490 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12031013303232 its reverse (23230331013021), we get a palindrome (35261344316253).

The spelling of 12031013303232 in words is "twelve trillion, thirty-one billion, thirteen million, three hundred three thousand, two hundred thirty-two".