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12302220300 = 22352173293809
BaseRepresentation
bin10110111010100010…
…01111110000001100
31011202100210112122220
423131101033300030
5200143332022200
65352423135340
7613601101326
oct133521176014
934670715586
1012302220300
115243312217
122473ba4550
13121095c0c6
14849c0c616
154c006c4a0
hex2dd44fc0c

12302220300 has 144 divisors (see below), whose sum is σ = 35966760480. Its totient is φ = 3246479360.

The previous prime is 12302220283. The next prime is 12302220319. The reversal of 12302220300 is 302220321.

12302220300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12302220300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15206296 + ... + 15207104.

It is an arithmetic number, because the mean of its divisors is an integer number (249769170).

Almost surely, 212302220300 is an apocalyptic number.

12302220300 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 12302220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983380240).

12302220300 is an abundant number, since it is smaller than the sum of its proper divisors (23664540180).

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

12302220300 is a wasteful number, since it uses less digits than its factorization.

12302220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12302220300 its reverse (302220321), we get a palindrome (12604440621).

The spelling of 12302220300 in words is "twelve billion, three hundred two million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 293 300 346 519 586 692 809 865 879 1038 1172 1465 1618 1730 1758 2076 2427 2595 2930 3236 3460 3516 4045 4325 4395 4854 5190 5860 7325 8090 8650 8790 9708 10380 12135 12975 14650 16180 17300 17580 20225 21975 24270 25950 29300 40450 43950 48540 50689 51900 60675 80900 87900 101378 121350 139957 152067 202756 237037 242700 253445 279914 304134 419871 474074 506890 559828 608268 699785 711111 760335 839742 948148 1013780 1185185 1267225 1399570 1422222 1520670 1679484 2099355 2370370 2534450 2799140 2844444 3041340 3498925 3555555 3801675 4198710 4740740 5068900 5925925 6997850 7111110 7603350 8397420 10496775 11851850 13995700 14222220 15206700 17777775 20993550 23703700 35555550 41007401 41987100 71111100 82014802 123022203 164029604 205037005 246044406 410074010 492088812 615111015 820148020 1025185025 1230222030 2050370050 2460444060 3075555075 4100740100 6151110150 12302220300