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12110027010 = 23517157151243
BaseRepresentation
bin10110100011101000…
…00101100100000010
31011020222011010000220
423101310011210002
5144300131331020
65321355523510
7606045350124
oct132164054402
934228133026
1012110027010
115154881594
12241b759596
1311acba9273
1482c49d214
154ad256240
hex2d1d05902

12110027010 has 64 divisors (see below), whose sum is σ = 30969931392. Its totient is φ = 3020000256.

The previous prime is 12110027009. The next prime is 12110027011. The reversal of 12110027010 is 1072001121.

It is an interprime number because it is at equal distance from previous prime (12110027009) and next prime (12110027011).

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

It is not an unprimeable number, because it can be changed into a prime (12110027011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4449 + ... + 155691.

It is an arithmetic number, because the mean of its divisors is an integer number (483905178).

Almost surely, 212110027010 is an apocalyptic number.

12110027010 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 12110027010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484965696).

12110027010 is an abundant number, since it is smaller than the sum of its proper divisors (18859904382).

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

12110027010 is a wasteful number, since it uses less digits than its factorization.

12110027010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151427.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 12110027010 its reverse (1072001121), we get a palindrome (13182028131).

The spelling of 12110027010 in words is "twelve billion, one hundred ten million, twenty-seven thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 314 471 510 785 942 1570 2355 2669 4710 5338 8007 13345 16014 26690 40035 80070 151243 302486 453729 756215 907458 1512430 2268645 2571131 4537290 5142262 7713393 12855655 15426786 23745151 25711310 38566965 47490302 71235453 77133930 118725755 142470906 237451510 356177265 403667567 712354530 807335134 1211002701 2018337835 2422005402 4036675670 6055013505 12110027010