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2201122120221 = 32377738551069
BaseRepresentation
bin100000000001111101000…
…110100010001000011101
321210102110222121011000200
4200001331012202020131
5242030344230321341
64403103114014113
7315011600214423
oct40017506421035
97712428534020
102201122120221
11779544065572
122b6713417339
1312c7461aa6bb
147876b9cb113
153c3c9c06db6
hex2007d1a221d

2201122120221 has 24 divisors (see below), whose sum is σ = 3269552920920. Its totient is φ = 1425907691136.

The previous prime is 2201122120193. The next prime is 2201122120303. The reversal of 2201122120221 is 1220212211022.

It is a happy number.

2201122120221 is a `hidden beast` number, since 2 + 201 + 1 + 221 + 20 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20520900 + 2201101599321 = 4530^2 + 1483611^2 .

It is not a de Polignac number, because 2201122120221 - 213 = 2201122112029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201122120194 and 2201122120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201122120721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4018126 + ... + 4532943.

It is an arithmetic number, because the mean of its divisors is an integer number (136231371705).

Almost surely, 22201122120221 is an apocalyptic number.

It is an amenable number.

2201122120221 is a deficient number, since it is larger than the sum of its proper divisors (1068430800699).

2201122120221 is a wasteful number, since it uses less digits than its factorization.

2201122120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551885 (or 8551882 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2201122120221 its reverse (1220212211022), we get a palindrome (3421334331243).

The spelling of 2201122120221 in words is "two trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 773 2319 6957 28601 85803 257409 8551069 25653207 76959621 316389553 949168659 2847505977 6609976337 19829929011 59489787033 244569124469 733707373407 2201122120221