Search a number
-
+
11111103020 = 2255926335803
BaseRepresentation
bin10100101100100010…
…11111101000101100
31001200100111111221002
422112101133220230
5140223420244040
65034313255432
7542225550233
oct122621375054
931610444832
1011111103020
114791a23176
1221a1104578
131080c57a94
14775951b1a
154506d8a15
hex29645fa2c

11111103020 has 48 divisors (see below), whose sum is σ = 23819685120. Its totient is φ = 4352377536.

The previous prime is 11111103019. The next prime is 11111103037. The reversal of 11111103020 is 2030111111.

It is a happy number.

11111103020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111111030202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11111102992 and 11111103010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292439 + ... + 328241.

It is an arithmetic number, because the mean of its divisors is an integer number (496243440).

Almost surely, 211111103020 is an apocalyptic number.

11111103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111103020 is an abundant number, since it is smaller than the sum of its proper divisors (12708582100).

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

11111103020 is a wasteful number, since it uses less digits than its factorization.

11111103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36134 (or 36132 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11111103020 its reverse (2030111111), we get a palindrome (13141214131).

The spelling of 11111103020 in words is "eleven billion, one hundred eleven million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 236 263 295 526 590 1052 1180 1315 2630 5260 15517 31034 35803 62068 71606 77585 143212 155170 179015 310340 358030 716060 2112377 4224754 8449508 9416189 10561885 18832378 21123770 37664756 42247540 47080945 94161890 188323780 555555151 1111110302 2222220604 2777775755 5555551510 11111103020