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11010210120 = 23345713107349
BaseRepresentation
bin10100100000100001…
…00111100101001000
31001102022122121220000
422100100213211020
5140022103210440
65020311003000
7536562145650
oct122020474510
931368577800
1011010210120
11473aa81908
122173369460
131066090a40
147663ab360
15446909730
hex290427948

11010210120 has 640 divisors, whose sum is σ = 46103904000. Its totient is φ = 2294728704.

The previous prime is 11010210119. The next prime is 11010210143. The reversal of 11010210120 is 2101201011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31547706 + ... + 31548054.

It is an arithmetic number, because the mean of its divisors is an integer number (72037350).

Almost surely, 211010210120 is an apocalyptic number.

11010210120 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 11010210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952000).

11010210120 is an abundant number, since it is smaller than the sum of its proper divisors (35093693880).

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

11010210120 is a wasteful number, since it uses less digits than its factorization.

11010210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11010210120 its reverse (2101201011), we get a palindrome (13111411131).

The spelling of 11010210120 in words is "eleven billion, ten million, two hundred ten thousand, one hundred twenty".