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11000020020000 = 253541123724639
BaseRepresentation
bin1010000000010010010001…
…0010010010101100100000
31102221120222022022210120220
42200010210102102230200
52420211020111120000
635221201152403040
72213503515304554
oct240044422225440
942846868283526
1011000020020000
11356109a593270
121297a64546480
1361a3b36135cb
142a05920a7864
151412083111a0
hexa0124492b20

11000020020000 has 480 divisors, whose sum is σ = 41073940131840. Its totient is φ = 2550725760000.

The previous prime is 11000020019981. The next prime is 11000020020019. The reversal of 11000020020000 is 2002000011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11000020019981) and next prime (11000020020019).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14817681 + ... + 15542319.

It is an arithmetic number, because the mean of its divisors is an integer number (85570708608).

Almost surely, 211000020020000 is an apocalyptic number.

11000020020000 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 11000020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536970065920).

11000020020000 is an abundant number, since it is smaller than the sum of its proper divisors (30073920111840).

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

11000020020000 is a wasteful number, since it uses less digits than its factorization.

11000020020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724706 (or 724683 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 11000020020000 its reverse (2002000011), we get a palindrome (11002022020011).

The spelling of 11000020020000 in words is "eleven trillion, twenty million, twenty thousand".