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203130121320 = 2332572101114013
BaseRepresentation
bin1011110100101101111…
…1111010110001101000
3201102022111011022201200
42331023133322301220
511312002302340240
6233152223244200
720450516354100
oct2751337726150
9642274138650
10203130121320
1179168726725
123344ba49660
1316202962479
149b8daba200
15543d16c930
hex2f4b7fac68

203130121320 has 288 divisors, whose sum is σ = 775566553320. Its totient is φ = 45969638400.

The previous prime is 203130121307. The next prime is 203130121321. The reversal of 203130121320 is 23121031302.

203130121320 is a `hidden beast` number, since 20 + 3 + 1 + 301 + 21 + 320 = 666.

203130121320 is digitally balanced in base 3, 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 163010832516 + 40119288804 = 403746^2 + 200298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203130121293 and 203130121302.

It is not an unprimeable number, because it can be changed into a prime (203130121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1724634 + ... + 1838646.

Almost surely, 2203130121320 is an apocalyptic number.

203130121320 is a gapful number since it is divisible by the number (20) 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 203130121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387783276660).

203130121320 is an abundant number, since it is smaller than the sum of its proper divisors (572436432000).

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

203130121320 is a wasteful number, since it uses less digits than its factorization.

203130121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114145 (or 114131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203130121320 its reverse (23121031302), we get a palindrome (226251152622).

The spelling of 203130121320 in words is "two hundred three billion, one hundred thirty million, one hundred twenty-one thousand, three hundred twenty".