Search a number
-
+
20201101111200 = 2535241205295743
BaseRepresentation
bin1001001011111011011110…
…11101001010111110100000
32122112012120110200102202110
410211331233131022332200
510121433323341024300
6110544131400515320
74153324055200422
oct445755735127640
978465513612673
1020201101111200
116489269a32399
122323137a7bb40
13b36c567825a9
144dba4a68a812
15250724d10550
hex125f6f74afa0

20201101111200 has 144 divisors (see below), whose sum is σ = 67358354789376. Its totient is φ = 5255570995200.

The previous prime is 20201101111189. The next prime is 20201101111237. The reversal of 20201101111200 is 211110110202.

It is a super-2 number, since 2×202011011112002 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 102549472 + ... + 102746271.

It is an arithmetic number, because the mean of its divisors is an integer number (467766352704).

Almost surely, 220201101111200 is an apocalyptic number.

20201101111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201101111200 is an abundant number, since it is smaller than the sum of its proper divisors (47157253678176).

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

20201101111200 is a wasteful number, since it uses less digits than its factorization.

20201101111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205295807 (or 205295794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20201101111200 its reverse (211110110202), we get a palindrome (20412211221402).

The spelling of 20201101111200 in words is "twenty trillion, two hundred one billion, one hundred one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 150 160 164 200 205 240 246 300 328 400 410 480 492 600 615 656 800 820 984 1025 1200 1230 1312 1640 1968 2050 2400 2460 3075 3280 3936 4100 4920 6150 6560 8200 9840 12300 16400 19680 24600 32800 49200 98400 205295743 410591486 615887229 821182972 1026478715 1231774458 1642365944 2052957430 2463548916 3079436145 3284731888 4105914860 4927097832 5132393575 6158872290 6569463776 8211829720 8417125463 9854195664 10264787150 12317744580 15397180725 16423659440 16834250926 19708391328 20529574300 24635489160 25251376389 30794361450 32847318880 33668501852 41059148600 42085627315 49270978320 50502752778 61588722900 67337003704 82118297200 84171254630 98541956640 101005505556 123177445800 126256881945 134674007408 164236594400 168342509260 202011011112 210428136575 246354891600 252513763890 269348014816 336685018520 404022022224 420856273150 492709783200 505027527780 631284409725 673370037040 808044044448 841712546300 1010055055560 1262568819450 1346740074080 1683425092600 2020110111120 2525137638900 3366850185200 4040220222240 5050275277800 6733700370400 10100550555600 20201101111200