Search a number
-
+
11220000093 = 332321438431
BaseRepresentation
bin10100111001100001…
…11001110101011101
31001221221102001122000
422130300321311131
5140434310000333
65053203312513
7545020266351
oct123460716535
931857361560
1011220000093
114838441155
12221167b739
13109a695113
147861bb461
1545a049713
hex29cc39d5d

11220000093 has 32 divisors (see below), whose sum is σ = 17355079680. Its totient is φ = 7150595760.

The previous prime is 11220000091. The next prime is 11220000101. The reversal of 11220000093 is 39000002211.

It is a happy number.

It is not a de Polignac number, because 11220000093 - 21 = 11220000091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220000091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1326588 + ... + 1335018.

It is an arithmetic number, because the mean of its divisors is an integer number (542346240).

Almost surely, 211220000093 is an apocalyptic number.

It is an amenable number.

11220000093 is a deficient number, since it is larger than the sum of its proper divisors (6135079587).

11220000093 is a wasteful number, since it uses less digits than its factorization.

11220000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 11220000093 in words is "eleven billion, two hundred twenty million, ninety-three", and thus it is an aban number.

Divisors: 1 3 9 23 27 69 207 621 2143 6429 8431 19287 25293 49289 57861 75879 147867 193913 227637 443601 581739 1330803 1745217 5235651 18067633 54202899 162608697 415555559 487826091 1246666677 3740000031 11220000093