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20012012300 = 22527127229983
BaseRepresentation
bin10010101000110011…
…110001001100001100
31220122200010120000202
4102220303301030030
5311441033343200
613105434513032
71305626204120
oct225063611414
956580116022
1020012012300
11853a294045
123a65b95778
131b6c0223c7
14d7bb31580
157c1d401d5
hex4a8cf130c

20012012300 has 144 divisors (see below), whose sum is σ = 50290114560. Its totient is φ = 6770615040.

The previous prime is 20012012263. The next prime is 20012012323. The reversal of 20012012300 is 321021002.

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, 20357609 + ... + 20358591.

Almost surely, 220012012300 is an apocalyptic number.

20012012300 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 20012012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25145057280).

20012012300 is an abundant number, since it is smaller than the sum of its proper divisors (30278102260).

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

20012012300 is a wasteful number, since it uses less digits than its factorization.

20012012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20012012300 its reverse (321021002), we get a palindrome (20333033302).

The spelling of 20012012300 in words is "twenty billion, twelve million, twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 229 254 350 458 508 635 700 889 916 983 1145 1270 1603 1778 1966 2290 2540 3175 3206 3556 3932 4445 4580 4915 5725 6350 6412 6881 8015 8890 9830 11450 12700 13762 16030 17780 19660 22225 22900 24575 27524 29083 32060 34405 40075 44450 49150 58166 68810 80150 88900 98300 116332 124841 137620 145415 160300 172025 203581 225107 249682 290830 344050 407162 450214 499364 581660 624205 688100 727075 814324 873887 900428 1017905 1125535 1248410 1454150 1575749 1747774 2035810 2251070 2496820 2908300 3121025 3151498 3495548 4071620 4369435 4502140 5089525 5627675 6242050 6302996 7878745 8738870 10179050 11255350 12484100 15757490 17477740 20358100 21847175 22510700 28588589 31514980 39393725 43694350 57177178 78787450 87388700 114354356 142942945 157574900 200120123 285885890 400240246 571771780 714714725 800480492 1000600615 1429429450 2001201230 2858858900 4002402460 5003003075 10006006150 20012012300