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12031110000 = 2432547132113
BaseRepresentation
bin10110011010001110…
…00010101101110000
31011001110122201020200
423031013002231300
5144114431010000
65305500235200
7604066514310
oct131507025560
934043581220
1012031110000
115114280018
1223b923bb00
131199737b00
14821bd9440
154a6368500
hex2cd1c2b70

12031110000 has 900 divisors, whose sum is σ = 52529347728. Its totient is φ = 2515968000.

The previous prime is 12031109999. The next prime is 12031110017. The reversal of 12031110000 is 1113021.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 106469944 + ... + 106470056.

Almost surely, 212031110000 is an apocalyptic number.

12031110000 is a gapful number since it is divisible by the number (10) 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 12031110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26264673864).

12031110000 is an abundant number, since it is smaller than the sum of its proper divisors (40498237728).

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

12031110000 is a wasteful number, since it uses less digits than its factorization.

12031110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12031110000 its reverse (1113021), we get a palindrome (12032223021).

The spelling of 12031110000 in words is "twelve billion, thirty-one million, one hundred ten thousand".