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11143110220 = 22511229831913
BaseRepresentation
bin10100110000010111…
…00101111001001100
31001202120201122112221
422120023211321030
5140310114011340
65041415305124
7543064605544
oct123013457114
931676648487
1011143110220
1147a8aa4700
1221ab97b1a4
131087783558
14779cc4324
1545340c44a
hex2982e5e4c

11143110220 has 144 divisors (see below), whose sum is σ = 26942842080. Its totient is φ = 3863157760.

The previous prime is 11143110163. The next prime is 11143110247. The reversal of 11143110220 is 2201134111.

It is a junction number, because it is equal to n+sod(n) for n = 11143110194 and 11143110203.

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, 5823984 + ... + 5825896.

It is an arithmetic number, because the mean of its divisors is an integer number (187103070).

Almost surely, 211143110220 is an apocalyptic number.

11143110220 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 11143110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471421040).

11143110220 is an abundant number, since it is smaller than the sum of its proper divisors (15799731860).

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

11143110220 is a wasteful number, since it uses less digits than its factorization.

11143110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11143110220 its reverse (2201134111), we get a palindrome (13344244331).

The spelling of 11143110220 in words is "eleven billion, one hundred forty-three million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 83 110 116 121 145 166 220 242 290 319 332 415 484 580 605 638 830 913 1210 1276 1595 1660 1826 1913 2407 2420 3190 3509 3652 3826 4565 4814 6380 7018 7652 9130 9565 9628 10043 12035 14036 17545 18260 19130 20086 21043 24070 26477 35090 38260 40172 42086 48140 50215 52954 55477 70180 84172 100430 105215 105908 110954 132385 158779 200860 210430 221908 231473 264770 277385 291247 317558 420860 462946 529540 554770 582494 610247 635116 793895 925892 1109540 1157365 1164988 1220494 1456235 1587790 1746569 2314730 2440988 2912470 3051235 3175580 3493138 4604591 4629460 5824940 6102470 6712717 6986276 8732845 9209182 12204940 13425434 17465690 18418364 19212259 23022955 26850868 33563585 34931380 38424518 46045910 50650501 67127170 76849036 92091820 96061295 101301002 134254340 192122590 202602004 253252505 384245180 506505010 557155511 1013010020 1114311022 2228622044 2785777555 5571555110 11143110220