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20011103022300 = 223521335711436867
BaseRepresentation
bin1001000110011001100101…
…01011111110110011011100
32121212001011011202110220220
410203030302223332303130
510110330214333203200
6110320550202241340
74133516534115165
oct443146253766334
977761134673826
1020011103022300
11641572aa71025
1222b2351ab6250
13b2206766c710
144d2784aa876c
1524a8049c54a0
hex123332afecdc

20011103022300 has 144 divisors (see below), whose sum is σ = 62370048811392. Its totient is φ = 4924427155200.

The previous prime is 20011103022277. The next prime is 20011103022341. The reversal of 20011103022300 is 322030111002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20011103022300.

It is a congruent 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, 13208467 + ... + 14645333.

It is an arithmetic number, because the mean of its divisors is an integer number (433125338968).

Almost surely, 220011103022300 is an apocalyptic number.

20011103022300 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 20011103022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31185024405696).

20011103022300 is an abundant number, since it is smaller than the sum of its proper divisors (42358945789092).

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

20011103022300 is a wasteful number, since it uses less digits than its factorization.

20011103022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440468 (or 1440461 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20011103022300 its reverse (322030111002), we get a palindrome (20333133133302).

The spelling of 20011103022300 in words is "twenty trillion, eleven billion, one hundred three million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3571 3900 7142 10713 14284 17855 21426 35710 42852 46423 53565 71420 89275 92846 107130 139269 178550 185692 214260 232115 267825 278538 357100 464230 535650 557076 696345 928460 1071300 1160575 1392690 1436867 2321150 2785380 2873734 3481725 4310601 4642300 5747468 6963450 7184335 8621202 13926900 14368670 17242404 18679271 21553005 28737340 35921675 37358542 43106010 56037813 71843350 74717084 86212020 93396355 107765025 112075626 143686700 186792710 215530050 224151252 280189065 373585420 431060100 466981775 560378130 933963550 1120756260 1400945325 1867927100 2801890650 5131052057 5603781300 10262104114 15393156171 20524208228 25655260285 30786312342 51310520570 61572624684 66703676741 76965780855 102621041140 128276301425 133407353482 153931561710 200111030223 256552602850 266814706964 307863123420 333518383705 384828904275 400222060446 513105205700 667036767410 769657808550 800444120892 1000555151115 1334073534820 1539315617100 1667591918525 2001110302230 3335183837050 4002220604460 5002775755575 6670367674100 10005551511150 20011103022300