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12311140110 = 2354120294933
BaseRepresentation
bin10110111011100110…
…10001011100001110
31011202222120201100020
423131303101130032
5200203122440420
65353342243010
7614036651523
oct133563213416
934688521306
1012311140110
115248354865
122476b86466
1312127630b9
1484b09114a
154c0c30340
hex2ddcd170e

12311140110 has 64 divisors (see below), whose sum is σ = 30288444480. Its totient is φ = 3200670720.

The previous prime is 12311140091. The next prime is 12311140111. The reversal of 12311140110 is 1104111321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12311140110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311140111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2493204 + ... + 2498136.

It is an arithmetic number, because the mean of its divisors is an integer number (473256945).

Almost surely, 212311140110 is an apocalyptic number.

12311140110 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 12311140110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144222240).

12311140110 is an abundant number, since it is smaller than the sum of its proper divisors (17977304370).

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

12311140110 is a wasteful number, since it uses less digits than its factorization.

12311140110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12311140110 its reverse (1104111321), we get a palindrome (13415251431).

The spelling of 12311140110 in words is "twelve billion, three hundred eleven million, one hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 2029 4058 4933 6087 9866 10145 12174 14799 20290 24665 29598 30435 49330 60870 73995 83189 147990 166378 202253 249567 404506 415945 499134 606759 831890 1011265 1213518 1247835 2022530 2495670 3033795 6067590 10009057 20018114 30027171 50045285 60054342 100090570 150135855 300271710 410371337 820742674 1231114011 2051856685 2462228022 4103713370 6155570055 12311140110