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20301120300 = 22352972932381
BaseRepresentation
bin10010111010000010…
…101000001100101100
31221101211010202122110
4102322002220030230
5313034041322200
613154243244020
71316036450436
oct227202501454
957354122573
1020301120300
1186784a917a
123b26979610
131bb6ba8626
14da82ab656
157dc3ebb50
hex4ba0a832c

20301120300 has 144 divisors (see below), whose sum is σ = 59570999712. Its totient is φ = 5337292800.

The previous prime is 20301120283. The next prime is 20301120331. The reversal of 20301120300 is 302110302.

It is a happy number.

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

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, 8525110 + ... + 8527490.

It is an arithmetic number, because the mean of its divisors is an integer number (413687498).

Almost surely, 220301120300 is an apocalyptic number.

20301120300 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 20301120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29785499856).

20301120300 is an abundant number, since it is smaller than the sum of its proper divisors (39269879412).

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

20301120300 is a wasteful number, since it uses less digits than its factorization.

20301120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20301120300 its reverse (302110302), we get a palindrome (20603230602).

The spelling of 20301120300 in words is "twenty billion, three hundred one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 293 300 388 485 582 586 879 970 1164 1172 1455 1465 1758 1940 2381 2425 2910 2930 3516 4395 4762 4850 5820 5860 7143 7275 7325 8790 9524 9700 11905 14286 14550 14650 17580 21975 23810 28421 28572 29100 29300 35715 43950 47620 56842 59525 71430 85263 87900 113684 119050 142105 142860 170526 178575 230957 238100 284210 341052 357150 426315 461914 568420 692871 697633 710525 714300 852630 923828 1154785 1385742 1395266 1421050 1705260 2092899 2131575 2309570 2771484 2790532 2842100 3464355 3488165 4185798 4263150 4619140 5773925 6928710 6976330 8371596 8526300 10464495 11547850 13857420 13952660 17321775 17440825 20928990 23095700 34643550 34881650 41857980 52322475 67670401 69287100 69763300 104644950 135340802 203011203 209289900 270681604 338352005 406022406 676704010 812044812 1015056015 1353408020 1691760025 2030112030 3383520050 4060224060 5075280075 6767040100 10150560150 20301120300