Search a number
-
+
11130033321 = 32118310712659
BaseRepresentation
bin10100101110110011…
…01101010010101001
31001201200010021102100
422113121231102221
5140243242031241
65040231124013
7542545502511
oct122731552251
931650107370
1011130033321
1147a1682850
1221a7513609
131084b55344
1477827c841
154521c79b6
hex29766d4a9

11130033321 has 48 divisors (see below), whose sum is σ = 17916837120. Its totient is φ = 6601400160.

The previous prime is 11130033301. The next prime is 11130033349. The reversal of 11130033321 is 12333003111.

It is a happy number.

11130033321 is a `hidden beast` number, since 1 + 11 + 300 + 33 + 321 = 666.

It is not a de Polignac number, because 11130033321 - 213 = 11130025129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11130033294 and 11130033303.

It is not an unprimeable number, because it can be changed into a prime (11130033301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872890 + ... + 885548.

It is an arithmetic number, because the mean of its divisors is an integer number (373267440).

Almost surely, 211130033321 is an apocalyptic number.

11130033321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11130033321 is a deficient number, since it is larger than the sum of its proper divisors (6786803799).

11130033321 is a wasteful number, since it uses less digits than its factorization.

11130033321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12866 (or 12863 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11130033321 its reverse (12333003111), we get a palindrome (23463036432).

The spelling of 11130033321 in words is "eleven billion, one hundred thirty million, thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 83 99 107 249 321 747 913 963 1177 2739 3531 8217 8881 10593 12659 26643 37977 79929 97691 113931 139249 293073 417747 879219 1050697 1253241 1354513 3152091 4063539 9456273 11557667 12190617 14899643 34673001 44698929 104019003 112424579 134096787 337273737 1011821211 1236670369 3710011107 11130033321