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11068112181420 = 22325731895131657
BaseRepresentation
bin1010000100001111111011…
…1001010001100010101100
31110012002201202201222221100
42201003332321101202230
52422314443204301140
635312342012003100
72221434065156610
oct241037671214254
943162652658840
1011068112181420
113587a61865a38
1212a90a8460490
13623945711598
142a39b1575340
15142d911b6530
hexa10fee518ac

11068112181420 has 288 divisors, whose sum is σ = 39612856098816. Its totient is φ = 2447895168000.

The previous prime is 11068112181383. The next prime is 11068112181433. The reversal of 11068112181420 is 2418121186011.

11068112181420 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 8 + 11 + 218 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349610232 + ... + 349641888.

It is an arithmetic number, because the mean of its divisors is an integer number (137544639232).

Almost surely, 211068112181420 is an apocalyptic number.

11068112181420 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 11068112181420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806428049408).

11068112181420 is an abundant number, since it is smaller than the sum of its proper divisors (28544743917396).

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

11068112181420 is a wasteful number, since it uses less digits than its factorization.

11068112181420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40661 (or 40656 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 11068112181420 in words is "eleven trillion, sixty-eight billion, one hundred twelve million, one hundred eighty-one thousand, four hundred twenty".