Search a number
-
+
200122221020121 = 321371260112880337
BaseRepresentation
bin101101100000001010010101…
…111001010100001111011001
3222020120111102200001011220100
4231200022111321110033121
5202212300302040120441
61545342513522050013
760103232123664321
oct5540122571241731
9866514380034810
10200122221020121
11588463a2654794
121a54103aaa9909
1387885a165742a
14375bd77d1a281
151820989014cb6
hexb60295e543d9

200122221020121 has 24 divisors (see below), whose sum is σ = 291198526939944. Its totient is φ = 132430462617600.

The previous prime is 200122221020081. The next prime is 200122221020143. The reversal of 200122221020121 is 121020122221002.

It is a happy number.

200122221020121 is a `hidden beast` number, since 200 + 1 + 22 + 221 + 0 + 201 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3460303115721 + 196661917904400 = 1860189^2 + 14023620^2 .

It is not a de Polignac number, because 200122221020121 - 27 = 200122221019993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200122221020094 and 200122221020103.

It is not an unprimeable number, because it can be changed into a prime (200122221020171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9096865 + ... + 21977201.

It is an arithmetic number, because the mean of its divisors is an integer number (12133271955831).

Almost surely, 2200122221020121 is an apocalyptic number.

It is an amenable number.

200122221020121 is a deficient number, since it is larger than the sum of its proper divisors (91076305919823).

200122221020121 is a wasteful number, since it uses less digits than its factorization.

200122221020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12893081 (or 12893078 counting only the distinct ones).

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

Adding to 200122221020121 its reverse (121020122221002), we get a palindrome (321142343241123).

The spelling of 200122221020121 in words is "two hundred trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 137 411 1233 12601 37803 113409 1726337 5179011 12880337 15537033 38641011 115923033 1764606169 5293818507 15881455521 162305126537 486915379611 1460746138833 22235802335569 66707407006707 200122221020121