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1300456075120 = 245109149134871
BaseRepresentation
bin10010111011001001001…
…110001110111101110000
311121022201000112110200021
4102323021032032331300
5132301313223400440
62433230554533224
7162645341152426
oct22731116167560
94538630473607
101300456075120
1146157a608184
12190054137214
139582b740387
1446d29d89116
1523c63eb384a
hex12ec938ef70

1300456075120 has 40 divisors (see below), whose sum is σ = 3051299481120. Its totient is φ = 515410110720.

The previous prime is 1300456075103. The next prime is 1300456075129. The reversal of 1300456075120 is 215706540031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300456075129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74558716 + ... + 74576155.

It is an arithmetic number, because the mean of its divisors is an integer number (76282487028).

Almost surely, 21300456075120 is an apocalyptic number.

1300456075120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300456075120 is an abundant number, since it is smaller than the sum of its proper divisors (1750843406000).

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

1300456075120 is a wasteful number, since it uses less digits than its factorization.

1300456075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149134993 (or 149134987 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 1300456075120 in words is "one trillion, three hundred billion, four hundred fifty-six million, seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 149134871 298269742 596539484 745674355 1193078968 1491348710 2386157936 2982697420 5965394840 11930789680 16255700939 32511401878 65022803756 81278504695 130045607512 162557009390 260091215024 325114018780 650228037560 1300456075120