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201302132220 = 2232572173131927
BaseRepresentation
bin1011101101111010001…
…0101100010111111100
3201020121002110212002200
42323132202230113330
511244231321212340
6232251003151500
720354311614600
oct2733642542774
9636532425080
10201302132220
117840a895432
123301b815590
1315ca1022807
149a58dd9500
155382936330
hex2ede8ac5fc

201302132220 has 216 divisors, whose sum is σ = 714420199584. Its totient is φ = 45745604352.

The previous prime is 201302132219. The next prime is 201302132233. The reversal of 201302132220 is 22231203102.

201302132220 is a `hidden beast` number, since 20 + 1 + 302 + 1 + 322 + 20 = 666.

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 = 201302132193 and 201302132202.

It is a congruent number.

It is an unprimeable number.

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, 1459897 + ... + 1591823.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500924).

Almost surely, 2201302132220 is an apocalyptic number.

201302132220 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 201302132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357210099792).

201302132220 is an abundant number, since it is smaller than the sum of its proper divisors (513118067364).

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

201302132220 is a wasteful number, since it uses less digits than its factorization.

201302132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132129 (or 132117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201302132220 its reverse (22231203102), we get a palindrome (223533335322).

The spelling of 201302132220 in words is "two hundred one billion, three hundred two million, one hundred thirty-two thousand, two hundred twenty".