Search a number
-
+
11002331300220 = 22395132149909
BaseRepresentation
bin1010000000011010111000…
…0011001000000101111100
31102221210221101102000000000
42200012232003020011330
52420230233303101340
635222222355234300
72213615012000061
oct240065603100574
942853841360000
1011002331300220
113562076209307
1212983aa5a8990
1361a691407c40
142a0731030c68
151412e11aed30
hexa01ae0c817c

11002331300220 has 240 divisors, whose sum is σ = 37322678389920. Its totient is φ = 2708264906496.

The previous prime is 11002331300173. The next prime is 11002331300231. The reversal of 11002331300220 is 2200313320011.

11002331300220 is a `hidden beast` number, since 1 + 10 + 0 + 2 + 331 + 300 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002331300193 and 11002331300202.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4042626 + ... + 6192534.

It is an arithmetic number, because the mean of its divisors is an integer number (155511159958).

Almost surely, 211002331300220 is an apocalyptic number.

11002331300220 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 11002331300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661339194960).

11002331300220 is an abundant number, since it is smaller than the sum of its proper divisors (26320347089700).

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

11002331300220 is an equidigital number, since it uses as much as digits as its factorization.

11002331300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149958 (or 2149932 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11002331300220 its reverse (2200313320011), we get a palindrome (13202644620231).

The spelling of 11002331300220 in words is "eleven trillion, two billion, three hundred thirty-one million, three hundred thousand, two hundred twenty".