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20003120000 = 2754614099
BaseRepresentation
bin10010101000010001…
…110110001110000000
31220122001101210002022
4102220101312032000
5311431244320000
613104520141012
71305460500053
oct225021661600
956561353068
1020003120000
118535270136
123a63007768
131b6a22aaa6
14d7a898a9a
157c1185585
hex4a8476380

20003120000 has 160 divisors (see below), whose sum is σ = 50625201000. Its totient is φ = 7868160000.

The previous prime is 20003119967. The next prime is 20003120017. The reversal of 20003120000 is 2130002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20003120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4877951 + ... + 4882049.

Almost surely, 220003120000 is an apocalyptic number.

20003120000 is a gapful number since it is divisible by the number (20) 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 20003120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25312600500).

20003120000 is an abundant number, since it is smaller than the sum of its proper divisors (30622081000).

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

20003120000 is an frugal number, since it uses more digits than its factorization.

20003120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 20003120000 its reverse (2130002), we get a palindrome (20005250002).

The spelling of 20003120000 in words is "twenty billion, three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 128 160 200 244 250 305 320 400 488 500 610 625 640 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3200 3904 4000 4099 4880 5000 6100 7625 7808 8000 8198 9760 10000 12200 15250 16000 16396 19520 20000 20495 24400 30500 32792 38125 39040 40000 40990 48800 61000 65584 76250 80000 81980 97600 102475 122000 131168 152500 163960 195200 204950 244000 250039 262336 305000 327920 409900 488000 500078 512375 524672 610000 655840 819800 976000 1000156 1024750 1220000 1250195 1311680 1639600 2000312 2049500 2440000 2500390 2561875 2623360 3279200 4000624 4099000 4880000 5000780 5123750 6250975 6558400 8001248 8198000 10001560 10247500 12501950 13116800 16002496 16396000 20003120 20495000 25003900 31254875 32004992 32792000 40006240 40990000 50007800 62509750 65584000 80012480 81980000 100015600 125019500 156274375 160024960 163960000 200031200 250039000 312548750 327920000 400062400 500078000 625097500 800124800 1000156000 1250195000 2000312000 2500390000 4000624000 5000780000 10001560000 20003120000