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12311332110 = 232571114911923
BaseRepresentation
bin10110111011101000…
…00000010100001110
31011202222221110201100
423131310000110032
5200203200111420
65353350323530
7614041411350
oct133564002416
934688843640
1012311332110
115248476040
1224770595a6
1312127cc5cc
1484b1010d0
154c0c6c190
hex2ddd0050e

12311332110 has 192 divisors, whose sum is σ = 40179110400. Its totient is φ = 2540816640.

The previous prime is 12311332087. The next prime is 12311332123. The reversal of 12311332110 is 1123311321.

12311332110 is a `hidden beast` number, since 12 + 311 + 332 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1026609 + ... + 1038531.

It is an arithmetic number, because the mean of its divisors is an integer number (209266200).

Almost surely, 212311332110 is an apocalyptic number.

12311332110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089555200).

12311332110 is an abundant number, since it is smaller than the sum of its proper divisors (27867778290).

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

12311332110 is a wasteful number, since it uses less digits than its factorization.

12311332110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12311332110 its reverse (1123311321), we get a palindrome (13434643431).

The spelling of 12311332110 in words is "twelve billion, three hundred eleven million, three hundred thirty-two thousand, one hundred ten".