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20111134300 = 22521725691223
BaseRepresentation
bin10010101110101101…
…111000111001011100
31220220120122110211221
4102232231320321130
5312141422244200
613123335223124
71311241551415
oct225655707134
956816573757
1020111134300
118590235954
123a93217aa4
131b8671938a
14d8ad7480c
157ca8be91a
hex4aeb78e5c

20111134300 has 108 divisors (see below), whose sum is σ = 46478743920. Its totient is φ = 7551764480.

The previous prime is 20111134213. The next prime is 20111134301. The reversal of 20111134300 is 343111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111134301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16443489 + ... + 16444711.

It is an arithmetic number, because the mean of its divisors is an integer number (430358740).

Almost surely, 220111134300 is an apocalyptic number.

20111134300 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 20111134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23239371960).

20111134300 is an abundant number, since it is smaller than the sum of its proper divisors (26367609620).

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

20111134300 is a wasteful number, since it uses less digits than its factorization.

20111134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20111134300 its reverse (343111102), we get a palindrome (20454245402).

It can be divided in two parts, 2011 and 1134300, that added together give a palindrome (1136311).

The spelling of 20111134300 in words is "twenty billion, one hundred eleven million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 569 578 850 1138 1156 1223 1445 1700 2276 2446 2845 2890 4892 5690 5780 6115 7225 9673 11380 12230 14225 14450 19346 20791 24460 28450 28900 30575 38692 41582 48365 56900 61150 83164 96730 103955 122300 164441 193460 207910 241825 328882 353447 415820 483650 519775 657764 695887 706894 822205 967300 1039550 1391774 1413788 1644410 1767235 2079100 2783548 3288820 3479435 3534470 4111025 6958870 7068940 8222050 8836175 11830079 13917740 16444100 17397175 17672350 23660158 34794350 35344700 47320316 59150395 69588700 118300790 201111343 236601580 295751975 402222686 591503950 804445372 1005556715 1183007900 2011113430 4022226860 5027783575 10055567150 20111134300