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12322010200 = 2352316729663
BaseRepresentation
bin10110111100111001…
…01111010001011000
31011210202000222022011
423132130233101120
5200213413311300
65354411235304
7614231233663
oct133634572130
934722028264
1012322010200
1152534a9705
12247a748b34
131214a9a9c6
1484c6c06da
154c1b7aeba
hex2de72f458

12322010200 has 96 divisors (see below), whose sum is σ = 30015221760. Its totient is φ = 4698460800.

The previous prime is 12322010171. The next prime is 12322010213. The reversal of 12322010200 is 201022321.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 400569 + ... + 430231.

It is an arithmetic number, because the mean of its divisors is an integer number (312658560).

Almost surely, 212322010200 is an apocalyptic number.

12322010200 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 12322010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007610880).

12322010200 is an abundant number, since it is smaller than the sum of its proper divisors (17693211560).

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

12322010200 is a wasteful number, since it uses less digits than its factorization.

12322010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29777 (or 29768 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12322010200 its reverse (201022321), we get a palindrome (12523032521).

The spelling of 12322010200 in words is "twelve billion, three hundred twenty-two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 67 100 124 134 155 200 248 268 310 335 536 620 670 775 1240 1340 1550 1675 2077 2680 3100 3350 4154 6200 6700 8308 10385 13400 16616 20770 29663 41540 51925 59326 83080 103850 118652 148315 207700 237304 296630 415400 593260 741575 919553 1186520 1483150 1839106 1987421 2966300 3678212 3974842 4597765 5932600 7356424 7949684 9195530 9937105 15899368 18391060 19874210 22988825 36782120 39748420 45977650 49685525 61610051 79496840 91955300 99371050 123220102 183910600 198742100 246440204 308050255 397484200 492880408 616100510 1232201020 1540251275 2464402040 3080502550 6161005100 12322010200