Search a number
-
+
11002212211200 = 293527172407697
BaseRepresentation
bin1010000000011010011011…
…1100110101101000000000
31102221210122002022122120120
42200012212330311220000
52420230012311224300
635222202502540240
72213612034521550
oct240064674655000
942853562278516
1011002212211200
113562014a69a31
121298376737680
1361a67283c872
142a071d2b1160
151412d59d93a0
hexa01a6f35a00

11002212211200 has 480 divisors, whose sum is σ = 43980668164224. Its totient is φ = 2366861475840.

The previous prime is 11002212211187. The next prime is 11002212211213. The reversal of 11002212211200 is 211221220011.

It is an interprime number because it is at equal distance from previous prime (11002212211187) and next prime (11002212211213).

It is a tau number, because it is divible by the number of its divisors (480).

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 11002212211200.

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 47 ways as a sum of consecutive naturals, for example, 3365752 + ... + 5773448.

Almost surely, 211002212211200 is an apocalyptic number.

11002212211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21990334082112).

11002212211200 is an abundant number, since it is smaller than the sum of its proper divisors (32978455953024).

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

11002212211200 is a wasteful number, since it uses less digits than its factorization.

11002212211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407752 (or 2407731 counting only the distinct ones).

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

Adding to 11002212211200 its reverse (211221220011), we get a palindrome (11213433431211).

The spelling of 11002212211200 in words is "eleven trillion, two billion, two hundred twelve million, two hundred eleven thousand, two hundred".