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1300011313200 = 243521237387557
BaseRepresentation
bin10010111010101110101…
…101100110100000110000
311121021120000122020000120
4102322232231212200300
5132244410344010300
62433114510050240
7162631330560435
oct22725655464060
94537500566016
101300011313200
11461371549a46
1218bb4b1a9980
139578a558942
1446cc6c91b8c
1523c39e0c3a0
hex12eaeb66830

1300011313200 has 120 divisors (see below), whose sum is σ = 4164753708048. Its totient is φ = 346637706240.

The previous prime is 1300011313199. The next prime is 1300011313219. The reversal of 1300011313200 is 23131100031.

It is a tau number, because it is divible by the number of its divisors (120).

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 1300011313200.

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, 14803822 + ... + 14891378.

Almost surely, 21300011313200 is an apocalyptic number.

1300011313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300011313200 is an abundant number, since it is smaller than the sum of its proper divisors (2864742394848).

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

1300011313200 is a wasteful number, since it uses less digits than its factorization.

1300011313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99951 (or 99940 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1300011313200 its reverse (23131100031), we get a palindrome (1323142413231).

The spelling of 1300011313200 in words is "one trillion, three hundred billion, eleven million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 12373 24746 37119 49492 61865 74238 87557 98984 123730 148476 175114 185595 197968 247460 262671 296952 309325 350228 371190 437785 494920 525342 593904 618650 700456 742380 875570 927975 989840 1050684 1237300 1313355 1400912 1484760 1751140 1855950 2101368 2188925 2474600 2626710 2969520 3502280 3711900 4202736 4377850 4949200 5253420 6566775 7004560 7423800 8755700 10506840 13133550 14847600 17511400 21013680 26267100 35022800 52534200 105068400 1083342761 2166685522 3250028283 4333371044 5416713805 6500056566 8666742088 10833427610 13000113132 16250141415 17333484176 21666855220 26000226264 27083569025 32500282830 43333710440 52000452528 54167138050 65000565660 81250707075 86667420880 108334276100 130001131320 162501414150 216668552200 260002262640 325002828300 433337104400 650005656600 1300011313200