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20302123212300 = 22352175623707951
BaseRepresentation
bin1001001110110111101001…
…10101111001111000001100
32122212212022212120220010110
410213123310311321320030
510130112222020243200
6111102355555040020
74163531352656466
oct447336465717014
978785285526113
1020302123212300
11651809a307146
12233a82bba0010
13b43635c69a87
145028b136d136
15253188b44b50
hex1276f4d79e0c

20302123212300 has 144 divisors (see below), whose sum is σ = 62207300477952. Its totient is φ = 5094521472000.

The previous prime is 20302123212277. The next prime is 20302123212361. The reversal of 20302123212300 is 321232120302.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28323325 + ... + 29031275.

It is an arithmetic number, because the mean of its divisors is an integer number (431995142208).

Almost surely, 220302123212300 is an apocalyptic number.

20302123212300 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 20302123212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31103650238976).

20302123212300 is an abundant number, since it is smaller than the sum of its proper divisors (41905177265652).

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

20302123212300 is a wasteful number, since it uses less digits than its factorization.

20302123212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713608 (or 713601 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20302123212300 its reverse (321232120302), we get a palindrome (20623355332602).

The spelling of 20302123212300 in words is "twenty trillion, three hundred two billion, one hundred twenty-three million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 5623 11246 16869 22492 28115 33738 56230 67476 84345 95591 112460 140575 168690 191182 281150 286773 337380 382364 421725 477955 562300 573546 707951 843450 955910 1147092 1415902 1433865 1686900 1911820 2123853 2389775 2831804 2867730 3539755 4247706 4779550 5735460 7079510 7169325 8495412 9559100 10619265 12035167 14159020 14338650 17698775 21238530 24070334 28677300 35397550 36105501 42477060 48140668 53096325 60175835 70795100 72211002 106192650 120351670 144422004 180527505 212385300 240703340 300879175 361055010 601758350 722110020 902637525 1203516700 1805275050 3610550100 3980808473 7961616946 11942425419 15923233892 19904042365 23884850838 39808084730 47769701676 59712127095 67673744041 79616169460 99520211825 119424254190 135347488082 199040423650 203021232123 238848508380 270694976164 298560635475 338368720205 398080847300 406042464246 597121270950 676737440410 812084928492 1015106160615 1194242541900 1353474880820 1691843601025 2030212321230 3383687202050 4060424642460 5075530803075 6767374404100 10151061606150 20302123212300