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12243310000 = 24546120071
BaseRepresentation
bin10110110011100001…
…00001010110110000
31011121020221120220221
423121300201112300
5200033241410000
65342520342424
7612254263225
oct133160412660
934536846827
1012243310000
115213036019
122458314a14
1312016a413c
1484207594c
154b9cd261a
hex2d9c215b0

12243310000 has 100 divisors (see below), whose sum is σ = 30129717904. Its totient is φ = 4816800000.

The previous prime is 12243309959. The next prime is 12243310007. The reversal of 12243310000 is 1334221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×122433100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12243310007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 599965 + ... + 620035.

Almost surely, 212243310000 is an apocalyptic number.

12243310000 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 12243310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064858952).

12243310000 is an abundant number, since it is smaller than the sum of its proper divisors (17886407904).

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

12243310000 is an equidigital number, since it uses as much as digits as its factorization.

12243310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20160 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12243310000 its reverse (1334221), we get a palindrome (12244644221).

The spelling of 12243310000 in words is "twelve billion, two hundred forty-three million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 976 1000 1220 1250 1525 2000 2440 2500 3050 4880 5000 6100 7625 10000 12200 15250 20071 24400 30500 38125 40142 61000 76250 80284 100355 122000 152500 160568 200710 305000 321136 401420 501775 610000 802840 1003550 1224331 1605680 2007100 2448662 2508875 4014200 4897324 5017750 6121655 8028400 9794648 10035500 12243310 12544375 19589296 20071000 24486620 25088750 30608275 40142000 48973240 50177500 61216550 97946480 100355000 122433100 153041375 200710000 244866200 306082750 489732400 612165500 765206875 1224331000 1530413750 2448662000 3060827500 6121655000 12243310000