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2201132132320 = 255114782132411
BaseRepresentation
bin100000000001111101101…
…100101110011111100000
321210102111200102211001011
4200001331230232133200
5242030404311213240
64403104112350304
7315012051264262
oct40017554563740
97712450384034
102201132132320
11779549783830
122b6716845394
1312c7482a4914
147876d075b32
153c3caa336ea
hex2007db2e7e0

2201132132320 has 192 divisors, whose sum is σ = 5800853947392. Its totient is φ = 782403328000.

The previous prime is 2201132132249. The next prime is 2201132132327. The reversal of 2201132132320 is 232312311022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2201132132291 and 2201132132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201132132327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67896915 + ... + 67929325.

It is an arithmetic number, because the mean of its divisors is an integer number (30212780976).

Almost surely, 22201132132320 is an apocalyptic number.

2201132132320 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 2201132132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900426973696).

2201132132320 is an abundant number, since it is smaller than the sum of its proper divisors (3599721815072).

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

2201132132320 is a wasteful number, since it uses less digits than its factorization.

2201132132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33305 (or 33297 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2201132132320 its reverse (232312311022), we get a palindrome (2433444443342).

The spelling of 2201132132320 in words is "two trillion, two hundred one billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".