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20340120000 = 26354169501
BaseRepresentation
bin10010111100010111…
…011001100111000000
31221111112112011011210
4102330113121213000
5313124032320000
613202155210120
71320022111254
oct227427314700
957445464153
1020340120000
118698516232
123b37a46940
131bc1cb1a85
14dad540264
157e0a52350
hex4bc5d99c0

20340120000 has 140 divisors (see below), whose sum is σ = 67249579496. Its totient is φ = 5424000000.

The previous prime is 20340119981. The next prime is 20340120019. The reversal of 20340120000 is 2104302.

It is an interprime number because it is at equal distance from previous prime (20340119981) and next prime (20340120019).

It is a super-2 number, since 2×203401200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35250 + ... + 204750.

Almost surely, 220340120000 is an apocalyptic number.

20340120000 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 20340120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33624789748).

20340120000 is an abundant number, since it is smaller than the sum of its proper divisors (46909459496).

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

20340120000 is an equidigital number, since it uses as much as digits as its factorization.

20340120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169536 (or 169511 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20340120000 its reverse (2104302), we get a palindrome (20342224302).

The spelling of 20340120000 in words is "twenty billion, three hundred forty 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 169501 339002 508503 678004 847505 1017006 1356008 1695010 2034012 2542515 2712016 3390020 4068024 4237525 5085030 5424032 6780040 8136048 8475050 10170060 10848064 12712575 13560080 16272096 16950100 20340120 21187625 25425150 27120160 32544192 33900200 40680240 42375250 50850300 54240320 63562875 67800400 81360480 84750500 101700600 105938125 127125750 135600800 162720960 169501000 203401200 211876250 254251500 271201600 317814375 339002000 406802400 423752500 508503000 635628750 678004000 813604800 847505000 1017006000 1271257500 1356008000 1695010000 2034012000 2542515000 3390020000 4068024000 5085030000 6780040000 10170060000 20340120000