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201133130220 = 22325112914923509
BaseRepresentation
bin1011101101010001111…
…0000000000111101100
3201020011022110122221100
42323110132000013230
511243410040131340
6232222125003100
720350160253441
oct2732436000754
9636138418840
10201133130220
1178333454760
1232b930b3490
1315c74ccc829
149a407a59c8
155372ba1830
hex2ed47801ec

201133130220 has 288 divisors, whose sum is σ = 693168840000. Its totient is φ = 46760232960.

The previous prime is 201133130197. The next prime is 201133130227. The reversal of 201133130220 is 22031331102.

201133130220 is a `hidden beast` number, since 2 + 0 + 11 + 331 + 302 + 20 = 666.

201133130220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 201133130193 and 201133130202.

It is not an unprimeable number, because it can be changed into a prime (201133130227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8543826 + ... + 8567334.

It is an arithmetic number, because the mean of its divisors is an integer number (2406836250).

Almost surely, 2201133130220 is an apocalyptic number.

201133130220 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 201133130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346584420000).

201133130220 is an abundant number, since it is smaller than the sum of its proper divisors (492035709780).

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

201133130220 is a wasteful number, since it uses less digits than its factorization.

201133130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23713 (or 23708 counting only the distinct ones).

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

Adding to 201133130220 its reverse (22031331102), we get a palindrome (223164461322).

The spelling of 201133130220 in words is "two hundred one billion, one hundred thirty-three million, one hundred thirty thousand, two hundred twenty".