Search a number
-
+
11020201222100 = 2252783223850567
BaseRepresentation
bin1010000001011101011100…
…1011011101111111010100
31110000112001202211002101112
42200113113023131333110
52421023333003101400
635234335513514152
72215116600554510
oct240272713357724
943015052732345
1011020201222100
113569706326094
12129b957112958
1361c27b6c3305
142a154847b140
151419d9e21835
hexa05d72ddfd4

11020201222100 has 144 divisors (see below), whose sum is σ = 27783443079168. Its totient is φ = 3716088831360.

The previous prime is 11020201222091. The next prime is 11020201222111. The reversal of 11020201222100 is 122210202011.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 12531017 + ... + 13381583.

Almost surely, 211020201222100 is an apocalyptic number.

11020201222100 is a gapful number since it is divisible by the number (10) 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 11020201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891721539584).

11020201222100 is an abundant number, since it is smaller than the sum of its proper divisors (16763241857068).

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

11020201222100 is a wasteful number, since it uses less digits than its factorization.

11020201222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850894 (or 850887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11020201222100 its reverse (122210202011), we get a palindrome (11142411424111).

The spelling of 11020201222100 in words is "eleven trillion, twenty billion, two hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 223 332 350 415 446 581 700 830 892 1115 1162 1561 1660 2075 2230 2324 2905 3122 4150 4460 5575 5810 6244 7805 8300 11150 11620 14525 15610 18509 22300 29050 31220 37018 39025 58100 74036 78050 92545 129563 156100 185090 259126 370180 462725 518252 647815 850567 925450 1295630 1701134 1850900 2591260 3239075 3402268 4252835 5953969 6478150 8505670 11907938 12956300 17011340 21264175 23815876 29769845 42528350 59539690 70597061 85056700 119079380 141194122 148849225 189676441 282388244 297698450 352985305 379352882 494179427 595396900 705970610 758705764 948382205 988358854 1327735087 1411941220 1764926525 1896764410 1976717708 2470897135 2655470174 3529853050 3793528820 4741911025 4941794270 5310940348 6638675435 7059706100 9483822050 9883588540 12354485675 13277350870 15743144603 18967644100 24708971350 26554701740 31486289206 33193377175 49417942700 62972578412 66386754350 78715723015 110202012221 132773508700 157431446030 220404024442 314862892060 393578615075 440808048884 551010061105 787157230150 1102020122210 1574314460300 2204040244420 2755050305525 5510100611050 11020201222100