Search a number
-
+
11103113041220 = 2257167311618267
BaseRepresentation
bin1010000110010010010100…
…0110111101010101000100
31110022110002001000220022002
42201210211012331111010
52423403133414304340
635340411045524432
72224113330443624
oct241444506752504
943273061026262
1011103113041220
1135a0892943a52
1212b3a36113718
13627032b76705
142a5571c26884
15143c3dd66715
hexa19251bd544

11103113041220 has 48 divisors (see below), whose sum is σ = 23680074999168. Its totient is φ = 4372185861120.

The previous prime is 11103113041219. The next prime is 11103113041249. The reversal of 11103113041220 is 2214031130111.

It is a super-2 number, since 2×111031130412202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11103113041192 and 11103113041201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4853474 + ... + 6764793.

It is an arithmetic number, because the mean of its divisors is an integer number (493334895816).

Almost surely, 211103113041220 is an apocalyptic number.

11103113041220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11103113041220 is an abundant number, since it is smaller than the sum of its proper divisors (12576961957948).

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

11103113041220 is a wasteful number, since it uses less digits than its factorization.

11103113041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619020 (or 11619018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11103113041220 its reverse (2214031130111), we get a palindrome (13317144171331).

The spelling of 11103113041220 in words is "eleven trillion, one hundred three billion, one hundred thirteen million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 673 710 1346 1420 2692 3365 6730 13460 47783 95566 191132 238915 477830 955660 11618267 23236534 46473068 58091335 116182670 232365340 824896957 1649793914 3299587828 4124484785 7819093691 8248969570 15638187382 16497939140 31276374764 39095468455 78190936910 156381873820 555155652061 1110311304122 2220622608244 2775778260305 5551556520610 11103113041220