Search a number
-
+
11013221120220 = 22325115562232889
BaseRepresentation
bin1010000001000011011100…
…1000011111100011011100
31102222212001022112011200200
42200100313020133203130
52420420034101321340
635231223130023500
72214451612641324
oct240206710374334
942885038464620
1011013221120220
113566754232250
12129a529577b90
1361b708566307
142a1085420284
1514172c238330
hexa043721f8dc

11013221120220 has 72 divisors (see below), whose sum is σ = 36443749895280. Its totient is φ = 2669871786240.

The previous prime is 11013221120129. The next prime is 11013221120287. The reversal of 11013221120220 is 2202112231011.

11013221120220 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 322 + 1 + 120 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11013221120193 and 11013221120202.

It is a congruent number.

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, 2781114465 + ... + 2781118424.

It is an arithmetic number, because the mean of its divisors is an integer number (506163192990).

Almost surely, 211013221120220 is an apocalyptic number.

11013221120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11013221120220 is an abundant number, since it is smaller than the sum of its proper divisors (25430528775060).

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

11013221120220 is a wasteful number, since it uses less digits than its factorization.

11013221120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562232915 (or 5562232910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11013221120220 its reverse (2202112231011), we get a palindrome (13215333351231).

The spelling of 11013221120220 in words is "eleven trillion, thirteen billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5562232889 11124465778 16686698667 22248931556 27811164445 33373397334 50060096001 55622328890 61184561779 66746794668 83433493335 100120192002 111244657780 122369123558 166866986670 183553685337 200240384004 244738247116 250300480005 305922808895 333733973340 367107370674 500600960010 550661056011 611845617790 734214741348 917768426685 1001201920020 1101322112022 1223691235580 1835536853370 2202644224044 2753305280055 3671073706740 5506610560110 11013221120220