Search a number
-
+
11221002112200 = 2335218701670187
BaseRepresentation
bin1010001101001001011111…
…0110000100110011001000
31110201201100221010012120020
42203102113312010303020
52432321103020042300
635510505053500440
72235455615143206
oct243222766046310
943651327105506
1011221002112200
113636889185931
121312856aa1720
1363519c91754a
142ab156a7a076
15146d3d8468a0
hexa3497d84cc8

11221002112200 has 48 divisors (see below), whose sum is σ = 34785106549680. Its totient is φ = 2992267229760.

The previous prime is 11221002112189. The next prime is 11221002112211. The reversal of 11221002112200 is 221120012211.

It is an interprime number because it is at equal distance from previous prime (11221002112189) and next prime (11221002112211).

It is a super-2 number, since 2×112210021122002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11221002112200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9350834494 + ... + 9350835693.

It is an arithmetic number, because the mean of its divisors is an integer number (724689719785).

Almost surely, 211221002112200 is an apocalyptic number.

11221002112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221002112200 is an abundant number, since it is smaller than the sum of its proper divisors (23564104437480).

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

11221002112200 is a wasteful number, since it uses less digits than its factorization.

11221002112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18701670206 (or 18701670197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11221002112200 its reverse (221120012211), we get a palindrome (11442122124411).

The spelling of 11221002112200 in words is "eleven trillion, two hundred twenty-one billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 18701670187 37403340374 56105010561 74806680748 93508350935 112210021122 149613361496 187016701870 224420042244 280525052805 374033403740 448840084488 467541754675 561050105610 748066807480 935083509350 1122100211220 1402625264025 1870167018700 2244200422440 2805250528050 3740334037400 5610501056100 11221002112200