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11201210020 = 225711131314271
BaseRepresentation
bin10100110111010010…
…01110011010100100
31001220122001102111101
422123221032122210
5140420002210040
65051252445444
7544401466660
oct123351163244
931818042441
1011201210020
114828877970
122207319884
131096816630
147838c98a0
1545858709a
hex29ba4e6a4

11201210020 has 192 divisors, whose sum is σ = 31831252992. Its totient is φ = 3197376000.

The previous prime is 11201210017. The next prime is 11201210023. The reversal of 11201210020 is 2001210211.

11201210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11201210017) and next prime (11201210023).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11201209979 and 11201210006.

It is not an unprimeable number, because it can be changed into a prime (11201210023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2620485 + ... + 2624755.

It is an arithmetic number, because the mean of its divisors is an integer number (165787776).

Almost surely, 211201210020 is an apocalyptic number.

11201210020 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 11201210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915626496).

11201210020 is an abundant number, since it is smaller than the sum of its proper divisors (20630042972).

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

11201210020 is a wasteful number, since it uses less digits than its factorization.

11201210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201210020 its reverse (2001210211), we get a palindrome (13202420231).

The spelling of 11201210020 in words is "eleven billion, two hundred one million, two hundred ten thousand, twenty".