Search a number
-
+
201122020101100 = 225271861154388593
BaseRepresentation
bin101101101110101101011110…
…100100001000101111101100
3222101010002002101101212022011
4231232231132210020233230
5202330140344121213400
61551430102554131004
760235405101650530
oct5556553644105754
9871102071355264
10201122020101100
11590a140811a1aa
121a682965720a64
13882b957106577
1437945017c1bc0
15183b9a2cde8ba
hexb6eb5e908bec

201122020101100 has 72 divisors (see below), whose sum is σ = 499050631680608. Its totient is φ = 68919067468800.

The previous prime is 201122020100993. The next prime is 201122020101161. The reversal of 201122020101100 is 1101020221102.

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, 75891597 + ... + 78496996.

Almost surely, 2201122020101100 is an apocalyptic number.

201122020101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122020101100 is an abundant number, since it is smaller than the sum of its proper divisors (297928611579508).

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

201122020101100 is a wasteful number, since it uses less digits than its factorization.

201122020101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154390475 (or 154390468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122020101100 its reverse (1101020221102), we get a palindrome (202223040322202).

The spelling of 201122020101100 in words is "two hundred one trillion, one hundred twenty-two billion, twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1861 3722 7444 9305 13027 18610 26054 37220 46525 52108 65135 93050 130270 186100 260540 325675 651350 1302700 154388593 308777186 617554372 771942965 1080720151 1543885930 2161440302 3087771860 3859714825 4322880604 5403600755 7719429650 10807201510 15438859300 21614403020 27018003775 54036007550 108072015100 287317171573 574634343146 1149268686292 1436585857865 2011220201011 2873171715730 4022440402022 5746343431460 7182929289325 8044880804044 10056101005055 14365858578650 20112202010110 28731717157300 40224404020220 50280505025275 100561010050550 201122020101100