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11331202020300 = 223352191032144477
BaseRepresentation
bin1010010011100100000001…
…0001010111001111001100
31111010020210221200120022000
42210321000101113033030
52441122300204122200
640033252104152300
72246436514666131
oct244710021271714
944106727616260
1011331202020300
113679599155948
121330090768690
136426b2668966
142b260c61a588
15149b3d27b300
hexa4e404573cc

11331202020300 has 288 divisors, whose sum is σ = 38717263603200. Its totient is φ = 2834825713920.

The previous prime is 11331202020247. The next prime is 11331202020301. The reversal of 11331202020300 is 302020213311.

11331202020300 is a `hidden beast` number, since 1 + 13 + 312 + 0 + 20 + 20 + 300 = 666.

It is a super-2 number, since 2×113312020203002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11331202020301) 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 95 ways as a sum of consecutive naturals, for example, 4211662 + ... + 6356138.

Almost surely, 211331202020300 is an apocalyptic number.

11331202020300 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 11331202020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19358631801600).

11331202020300 is an abundant number, since it is smaller than the sum of its proper divisors (27386061582900).

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

11331202020300 is a wasteful number, since it uses less digits than its factorization.

11331202020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144622 (or 2144609 counting only the distinct ones).

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

Adding to 11331202020300 its reverse (302020213311), we get a palindrome (11633222233611).

The spelling of 11331202020300 in words is "eleven trillion, three hundred thirty-one billion, two hundred two million, twenty thousand, three hundred".