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11103002230320 = 243257111337597057
BaseRepresentation
bin1010000110010001111010…
…0000001111111000110000
31110022102210022112010022200
42201210132200033320300
52423402422032332240
635340352050503200
72224110513534030
oct241443640177060
943272708463280
1011103002230320
1135a08363390a0
1212b3a04b94b00
13627015c19230
142a556121d8c0
15143c34278930
hexa191e80fe30

11103002230320 has 1920 divisors, whose sum is σ = 52296432814080. Its totient is φ = 2036679966720.

The previous prime is 11103002230289. The next prime is 11103002230321. The reversal of 11103002230320 is 2303220030111.

11103002230320 is a `hidden beast` number, since 1 + 1 + 10 + 300 + 2 + 2 + 30 + 320 = 666.

It is a super-3 number, since 3×111030022303203 (a number of 40 digits) contains 333 as substring.

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 = 11103002230293 and 11103002230302.

It is not an unprimeable number, because it can be changed into a prime (11103002230321) 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 383 ways as a sum of consecutive naturals, for example, 1573328232 + ... + 1573335288.

It is an arithmetic number, because the mean of its divisors is an integer number (27237725424).

Almost surely, 211103002230320 is an apocalyptic number.

11103002230320 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 11103002230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26148216407040).

11103002230320 is an abundant number, since it is smaller than the sum of its proper divisors (41193430583760).

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

11103002230320 is a wasteful number, since it uses less digits than its factorization.

11103002230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7194 counting only the distinct ones).

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

Adding to 11103002230320 its reverse (2303220030111), we get a palindrome (13406222260431).

The spelling of 11103002230320 in words is "eleven trillion, one hundred three billion, two million, two hundred thirty thousand, three hundred twenty".