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20300240000 = 2754475399
BaseRepresentation
bin10010111001111111…
…010001010010000000
31221101202111001002202
4102321333101102000
5313033330140000
613154212332332
71316026123115
oct227177212200
957352431082
1020300240000
118677a57857
123b266140a8
131bb695aa41
14da811c90c
157dc2c5dd5
hex4b9fd1480

20300240000 has 160 divisors (see below), whose sum is σ = 51620976000. Its totient is φ = 7945856000.

The previous prime is 20300239991. The next prime is 20300240003. The reversal of 20300240000 is 4200302.

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

It is not an unprimeable number, because it can be changed into a prime (20300240003) 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, 3757301 + ... + 3762699.

It is an arithmetic number, because the mean of its divisors is an integer number (322631100).

Almost surely, 220300240000 is an apocalyptic number.

20300240000 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 20300240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25810488000).

20300240000 is an abundant number, since it is smaller than the sum of its proper divisors (31320736000).

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

20300240000 is an frugal number, since it uses more digits than its factorization.

20300240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 20300240000 its reverse (4200302), we get a palindrome (20304440302).

The spelling of 20300240000 in words is "twenty billion, three hundred million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 320 376 400 470 500 625 640 752 800 940 1000 1175 1250 1504 1600 1880 2000 2350 2500 3008 3200 3760 4000 4700 5000 5399 5875 6016 7520 8000 9400 10000 10798 11750 15040 16000 18800 20000 21596 23500 26995 29375 30080 37600 40000 43192 47000 53990 58750 75200 80000 86384 94000 107980 117500 134975 150400 172768 188000 215960 235000 253753 269950 345536 376000 431920 470000 507506 539900 674875 691072 752000 863840 940000 1015012 1079800 1268765 1349750 1727680 1880000 2030024 2159600 2537530 2699500 3374375 3455360 3760000 4060048 4319200 5075060 5399000 6343825 6748750 8120096 8638400 10150120 10798000 12687650 13497500 16240192 17276800 20300240 21596000 25375300 26995000 31719125 32480384 40600480 43192000 50750600 53990000 63438250 81200960 86384000 101501200 107980000 126876500 158595625 162401920 203002400 215960000 253753000 317191250 406004800 431920000 507506000 634382500 812009600 1015012000 1268765000 2030024000 2537530000 4060048000 5075060000 10150120000 20300240000