Search a number
-
+
11120000221218 = 237505952334831
BaseRepresentation
bin1010000111010001001110…
…1010011100000000100010
31110101001122221020112021010
42201310103222130000202
52424142230024034333
635352242500441350
72225251654216560
oct241642352340042
943331587215233
1011120000221218
1135a7a69255259
1212b71696a9256
136287c4688005
142a62d4938a30
151443cb6a5563
hexa1d13a9c022

11120000221218 has 32 divisors (see below), whose sum is σ = 25422167992320. Its totient is φ = 3176514841680.

The previous prime is 11120000221217. The next prime is 11120000221219. The reversal of 11120000221218 is 81212200002111.

It is an interprime number because it is at equal distance from previous prime (11120000221217) and next prime (11120000221219).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11120000221194 and 11120000221203.

It is not an unprimeable number, because it can be changed into a prime (11120000221217) by changing a digit.

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, 25954938 + ... + 26379893.

It is an arithmetic number, because the mean of its divisors is an integer number (794442749760).

Almost surely, 211120000221218 is an apocalyptic number.

11120000221218 is an abundant number, since it is smaller than the sum of its proper divisors (14302167771102).

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

11120000221218 is a wasteful number, since it uses less digits than its factorization.

11120000221218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52339902.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 11120000221218 its reverse (81212200002111), we get a palindrome (92332200223329).

The spelling of 11120000221218 in words is "eleven trillion, one hundred twenty billion, two hundred twenty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 5059 10118 15177 30354 35413 70826 106239 212478 52334831 104669662 157004493 314008986 366343817 732687634 1099031451 2198062902 264761910029 529523820058 794285730087 1588571460174 1853333370203 3706666740406 5560000110609 11120000221218