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13531201220 = 225676560061
BaseRepresentation
bin11001001101000010…
…11011111011000100
31021221000100020112202
430212201123323010
5210202441414340
610114404334032
7656213212145
oct144641337304
937830306482
1013531201220
115814012829
1227576a4318
13137845c754
14925123acc
15542dcec15
hex32685bec4

13531201220 has 12 divisors (see below), whose sum is σ = 28415522604. Its totient is φ = 5412480480.

The previous prime is 13531201213. The next prime is 13531201223. The reversal of 13531201220 is 2210213531.

13531201220 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 2 ways, for example, as 2056078336 + 11475122884 = 45344^2 + 107122^2 .

It is a super-2 number, since 2×135312012202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 676560061 = 13531201220 / (1 + 3 + 5 + 3 + 1 + 2 + 0 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 13531201192 and 13531201201.

It is not an unprimeable number, because it can be changed into a prime (13531201223) 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 3 ways as a sum of consecutive naturals, for example, 338280011 + ... + 338280050.

It is an arithmetic number, because the mean of its divisors is an integer number (2367960217).

Almost surely, 213531201220 is an apocalyptic number.

13531201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531201220 is an abundant number, since it is smaller than the sum of its proper divisors (14884321384).

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

13531201220 is a wasteful number, since it uses less digits than its factorization.

13531201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676560070 (or 676560068 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13531201220 its reverse (2210213531), we get a palindrome (15741414751).

The spelling of 13531201220 in words is "thirteen billion, five hundred thirty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 676560061 1353120122 2706240244 3382800305 6765600610 13531201220