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12310012202200 = 23521992291350641
BaseRepresentation
bin1011001100100010010111…
…1001111000110011011000
31121120211021220201200221021
42303020211321320303120
53103141401110432300
642103050323252224
72410240402160626
oct263104571706330
947524256650837
1012310012202200
113a16712a6a879
12146991a21a074
136b3aa18bb99b
14307b4473c516
1516532959cd1a
hexb3225e78cd8

12310012202200 has 96 divisors (see below), whose sum is σ = 28890232380000. Its totient is φ = 4877863372800.

The previous prime is 12310012202179. The next prime is 12310012202207. The reversal of 12310012202200 is 220221001321.

It is a happy number.

12310012202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310012202207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8438880 + ... + 9789520.

It is an arithmetic number, because the mean of its divisors is an integer number (300939920625).

Almost surely, 212310012202200 is an apocalyptic number.

12310012202200 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 12310012202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445116190000).

12310012202200 is an abundant number, since it is smaller than the sum of its proper divisors (16580220177800).

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

12310012202200 is a wasteful number, since it uses less digits than its factorization.

12310012202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351085 (or 1351076 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12310012202200 its reverse (220221001321), we get a palindrome (12530233203521).

The spelling of 12310012202200 in words is "twelve trillion, three hundred ten billion, twelve million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 229 398 458 796 916 995 1145 1592 1832 1990 2290 3980 4580 4975 5725 7960 9160 9950 11450 19900 22900 39800 45571 45800 91142 182284 227855 364568 455710 911420 1139275 1350641 1822840 2278550 2701282 4557100 5402564 6753205 9114200 10805128 13506410 27012820 33766025 54025640 67532050 135064100 268777559 270128200 309296789 537555118 618593578 1075110236 1237187156 1343887795 1546483945 2150220472 2474374312 2687775590 3092967890 5375551180 6185935780 6719438975 7732419725 10751102360 12371871560 13438877950 15464839450 26877755900 30929678900 53755511800 61550061011 61859357800 123100122022 246200244044 307750305055 492400488088 615500610110 1231001220220 1538751525275 2462002440440 3077503050550 6155006101100 12310012202200