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12311130000 = 243541331567
BaseRepresentation
bin10110111011100110…
…01110111110010000
31011202222120012110210
423131303032332100
5200203122130000
65353342124120
7614036610201
oct133563167620
934688505423
1012311130000
115248348204
122476b80640
13121275b610
1484b08b5a8
154c0c2c350
hex2ddccef90

12311130000 has 200 divisors, whose sum is σ = 42800399488. Its totient is φ = 3030336000.

The previous prime is 12311129981. The next prime is 12311130019. The reversal of 12311130000 is 3111321.

It is an interprime number because it is at equal distance from previous prime (12311129981) and next prime (12311130019).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374217 + ... + 405783.

Almost surely, 212311130000 is an apocalyptic number.

12311130000 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 12311130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400199744).

12311130000 is an abundant number, since it is smaller than the sum of its proper divisors (30489269488).

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

12311130000 is a wasteful number, since it uses less digits than its factorization.

12311130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31611 (or 31590 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12311130000 its reverse (3111321), we get a palindrome (12314241321).

It can be divided in two parts, 12311 and 130000, that added together give a triangular number (142311 = T533).

The spelling of 12311130000 in words is "twelve billion, three hundred eleven million, one hundred thirty thousand".