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2202442561341 = 321122709979651
BaseRepresentation
bin100000000011001011110…
…011100111011100111101
321210112220000020111201100
4200003023303213130331
5242041100243430331
64403442123403313
7315056402612121
oct40031363473475
97715800214640
102202442561341
1177a061454520
122b6a21683539
1312c8c69217c9
147885510d581
153c455ad3ae6
hex200cbce773d

2202442561341 has 24 divisors (see below), whose sum is σ = 3470671919520. Its totient is φ = 1334753532000.

The previous prime is 2202442561327. The next prime is 2202442561349. The reversal of 2202442561341 is 1431652442022.

2202442561341 is a `hidden beast` number, since 2 + 2 + 0 + 24 + 42 + 561 + 34 + 1 = 666.

It is not a de Polignac number, because 2202442561341 - 211 = 2202442559293 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2202442561296 and 2202442561305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202442561349) 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, 1758366 + ... + 2738016.

It is an arithmetic number, because the mean of its divisors is an integer number (144611329980).

Almost surely, 22202442561341 is an apocalyptic number.

It is an amenable number.

2202442561341 is a deficient number, since it is larger than the sum of its proper divisors (1268229358179).

2202442561341 is a wasteful number, since it uses less digits than its factorization.

2202442561341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002377 (or 1002374 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2202442561341 in words is "two trillion, two hundred two billion, four hundred forty-two million, five hundred sixty-one thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 22709 68127 204381 249799 749397 979651 2248191 2938953 8816859 10776161 32328483 96985449 22246894559 66740683677 200222051031 244715840149 734147520447 2202442561341