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2201333131332 = 22331731371045321
BaseRepresentation
bin100000000010001001101…
…011011110100001000100
321210110000200122121212000
4200002021223132201010
5242031312240200312
64403140052425300
7315020041612236
oct40021153364104
97713020577760
102201333131332
11779642189315
122b6772018230
1312c77ab1b84a
147878ba38256
153c3dd4d8adc
hex20089ade844

2201333131332 has 192 divisors, whose sum is σ = 6406402222080. Its totient is φ = 650272665600.

The previous prime is 2201333131331. The next prime is 2201333131337. The reversal of 2201333131332 is 2331313331022.

2201333131332 is a `hidden beast` number, since 2 + 2 + 0 + 13 + 3 + 313 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2201333131296 and 2201333131305.

It is not an unprimeable number, because it can be changed into a prime (2201333131331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1583232 + ... + 2628552.

It is an arithmetic number, because the mean of its divisors is an integer number (33366678240).

Almost surely, 22201333131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201333131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203201111040).

2201333131332 is an abundant number, since it is smaller than the sum of its proper divisors (4205069090748).

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

2201333131332 is a wasteful number, since it uses less digits than its factorization.

2201333131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045419 (or 1045411 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2201333131332 its reverse (2331313331022), we get a palindrome (4532646462354).

The spelling of 2201333131332 in words is "two trillion, two hundred one billion, three hundred thirty-three million, one hundred thirty-one thousand, three hundred thirty-two".