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10011201220 = 225975160413
BaseRepresentation
bin10010101001011011…
…01100111011000100
3221211200211201022101
421110231230323010
5131000331414340
64333222441444
7503041543366
oct112455547304
927750751271
1010011201220
114278075719
121b34893284
13c3710ca07
146ad83ad36
153d8d71c9a
hex254b6cec4

10011201220 has 24 divisors (see below), whose sum is σ = 21240264024. Its totient is φ = 3963196416.

The previous prime is 10011201209. The next prime is 10011201229. The reversal of 10011201220 is 2210211001.

10011201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57547396 + 9953653824 = 7586^2 + 99768^2 .

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 = 10011201197 and 10011201206.

It is not an unprimeable number, because it can be changed into a prime (10011201229) 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 7 ways as a sum of consecutive naturals, for example, 2578267 + ... + 2582146.

It is an arithmetic number, because the mean of its divisors is an integer number (885011001).

Almost surely, 210011201220 is an apocalyptic number.

10011201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011201220 is an abundant number, since it is smaller than the sum of its proper divisors (11229062804).

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

10011201220 is a wasteful number, since it uses less digits than its factorization.

10011201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160519 (or 5160517 counting only the distinct ones).

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

Adding to 10011201220 its reverse (2210211001), we get a palindrome (12221412221).

The spelling of 10011201220 in words is "ten billion, eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 5160413 10320826 20641652 25802065 51604130 103208260 500560061 1001120122 2002240244 2502800305 5005600610 10011201220