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13123302012000 = 253253364536167
BaseRepresentation
bin1011111011111000000111…
…0000010011010001100000
31201110120112110222201200200
42332332001300103101200
53210003010303341000
643524432310345200
72523061441406055
oct276760160232140
951416473881620
1013123302012000
1141aa619953354
12157b47335b200
137426a2caa82b
14335257b0d02c
1517b57948b500
hexbef81c13460

13123302012000 has 144 divisors (see below), whose sum is σ = 46574598968352. Its totient is φ = 3499547193600.

The previous prime is 13123302011951. The next prime is 13123302012013. The reversal of 13123302012000 is 21020332131.

13123302012000 is a `hidden beast` number, since 1 + 31 + 233 + 0 + 201 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182232084 + ... + 182304083.

It is an arithmetic number, because the mean of its divisors is an integer number (323434715058).

Almost surely, 213123302012000 is an apocalyptic number.

13123302012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123302012000 is an abundant number, since it is smaller than the sum of its proper divisors (33451296956352).

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

13123302012000 is a wasteful number, since it uses less digits than its factorization.

13123302012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364536198 (or 364536177 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13123302012000 its reverse (21020332131), we get a palindrome (13144322344131).

The spelling of 13123302012000 in words is "thirteen trillion, one hundred twenty-three billion, three hundred two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 364536167 729072334 1093608501 1458144668 1822680835 2187217002 2916289336 3280825503 3645361670 4374434004 5468042505 5832578672 6561651006 7290723340 8748868008 9113404175 10936085010 11665157344 13123302012 14581446680 16404127515 17497736016 18226808350 21872170020 26246604024 27340212525 29162893360 32808255030 34995472032 36453616700 43744340040 45567020875 52493208048 54680425050 58325786720 65616510060 72907233400 82020637575 87488680080 91134041750 104986416096 109360850100 131233020120 136701062625 145814466800 164041275150 174977360160 182268083500 218721700200 262466040240 273402125250 291628933600 328082550300 364536167000 410103187875 437443400400 524932080480 546804250500 656165100600 729072334000 820206375750 874886800800 1093608501000 1312330201200 1458144668000 1640412751500 2187217002000 2624660402400 3280825503000 4374434004000 6561651006000 13123302012000