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11711213280 = 253451325347
BaseRepresentation
bin10101110100000101…
…01110111011100000
31010020011201021110000
422322002232323200
5142441032311110
65214031540000
7563133445644
oct127202567340
933204637400
1011711213280
114a6a746968
12232a08a600
131148391900
147d1526c24
154882291c0
hex2ba0aeee0

11711213280 has 360 divisors, whose sum is σ = 44763048792. Its totient is φ = 2882221056.

The previous prime is 11711213273. The next prime is 11711213291. The reversal of 11711213280 is 8231211711.

11711213280 is a `hidden beast` number, since 1 + 171 + 1 + 213 + 280 = 666.

11711213280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 2187567 + ... + 2192913.

Almost surely, 211711213280 is an apocalyptic number.

11711213280 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 11711213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22381524396).

11711213280 is an abundant number, since it is smaller than the sum of its proper divisors (33051835512).

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

11711213280 is a wasteful number, since it uses less digits than its factorization.

11711213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 11711213280 its reverse (8231211711), we get a palindrome (19942424991).

The spelling of 11711213280 in words is "eleven billion, seven hundred eleven million, two hundred thirteen thousand, two hundred eighty".