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2222141343201 = 3213150131265081
BaseRepresentation
bin100000010101100001111…
…100100000010111100001
321212102201211222022100200
4200111201330200113201
5242401421140440301
64420500532535413
7316354506524043
oct40254174402741
97772654868320
102222141343201
1178744a94792a
122ba7ba781569
13131715a93050
14797a33c5a93
153cc0a19ec86
hex20561f205e1

2222141343201 has 24 divisors (see below), whose sum is σ = 3456897288936. Its totient is φ = 1367379429120.

The previous prime is 2222141343197. The next prime is 2222141343263. The reversal of 2222141343201 is 1023431412222.

2222141343201 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 413 + 43 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235031040000 + 1987110303201 = 484800^2 + 1409649^2 .

It is not a de Polignac number, because 2222141343201 - 22 = 2222141343197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2222141343001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123981 + ... + 2389061.

It is an arithmetic number, because the mean of its divisors is an integer number (144037387039).

Almost surely, 22222141343201 is an apocalyptic number.

It is an amenable number.

2222141343201 is a deficient number, since it is larger than the sum of its proper divisors (1234755945735).

2222141343201 is a wasteful number, since it uses less digits than its factorization.

2222141343201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280113 (or 1280110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2222141343201 its reverse (1023431412222), we get a palindrome (3245572755423).

The spelling of 2222141343201 in words is "two trillion, two hundred twenty-two billion, one hundred forty-one million, three hundred forty-three thousand, two hundred one".

Divisors: 1 3 9 13 39 117 15013 45039 135117 195169 585507 1265081 1756521 3795243 11385729 16446053 49338159 148014477 18992661053 56977983159 170933949477 246904593689 740713781067 2222141343201