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10201320120000 = 2635485011001
BaseRepresentation
bin1001010001110010111000…
…0011111101111011000000
31100010020101112112222112010
42110130232003331323000
52314114300422320000
633410231033532520
72102010136210542
oct224345603757300
940106345488463
1010201320120000
1132833a0294989
121189101574140
1358cc98b08599
14273a6468b692
1512a55e22dd50
hex9472e0fdec0

10201320120000 has 140 divisors (see below), whose sum is σ = 33727945021496. Its totient is φ = 2720352000000.

The previous prime is 10201320119987. The next prime is 10201320120007. The reversal of 10201320120000 is 2102310201.

10201320120000 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 (12).

It is not an unprimeable number, because it can be changed into a prime (10201320120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42385501 + ... + 42625500.

Almost surely, 210201320120000 is an apocalyptic number.

10201320120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201320120000 is an abundant number, since it is smaller than the sum of its proper divisors (23526624901496).

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

10201320120000 is an frugal number, since it uses more digits than its factorization.

10201320120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85011036 (or 85011011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201320120000 its reverse (2102310201), we get a palindrome (10203422430201).

The spelling of 10201320120000 in words is "ten trillion, two hundred one billion, three hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 85011001 170022002 255033003 340044004 425055005 510066006 680088008 850110010 1020132012 1275165015 1360176016 1700220020 2040264024 2125275025 2550330030 2720352032 3400440040 4080528048 4250550050 5100660060 5440704064 6375825075 6800880080 8161056096 8501100100 10201320120 10626375125 12751650150 13601760160 16322112192 17002200200 20402640240 21252750250 25503300300 27203520320 31879125375 34004400400 40805280480 42505500500 51006600600 53131875625 63758250750 68008800800 81610560960 85011001000 102013201200 106263751250 127516501500 136017601600 159395626875 170022002000 204026402400 212527502500 255033003000 318791253750 340044004000 408052804800 425055005000 510066006000 637582507500 680088008000 850110010000 1020132012000 1275165015000 1700220020000 2040264024000 2550330030000 3400440040000 5100660060000 10201320120000