Search a number
-
+
12311111000 = 2353172411039
BaseRepresentation
bin10110111011100110…
…01010010101011000
31011202222112020102002
423131303022111120
5200203121023000
65353341500132
7614036500616
oct133563122530
934688466362
1012311111000
115248334a01
122476b71648
131212752a86
1484b0846b6
154c0c268d5
hex2ddcca558

12311111000 has 192 divisors, whose sum is σ = 31378838400. Its totient is φ = 4517376000.

The previous prime is 12311110969. The next prime is 12311111011. The reversal of 12311111000 is 11111321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11848481 + ... + 11849519.

It is an arithmetic number, because the mean of its divisors is an integer number (163431450).

Almost surely, 212311111000 is an apocalyptic number.

12311111000 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 12311111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689419200).

12311111000 is an abundant number, since it is smaller than the sum of its proper divisors (19067727400).

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

12311111000 is a wasteful number, since it uses less digits than its factorization.

12311111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 12311111000 its reverse (11111321), we get a palindrome (12322222321).

The spelling of 12311111000 in words is "twelve billion, three hundred eleven million, one hundred eleven thousand".