Search a number
-
+
221020122020121 = 321983109142866733
BaseRepresentation
bin110010010000010001000001…
…110111000111100100011001
31001222120022120022122112002200
4302100101001313013210121
5212432143202214120441
62102023124202520413
764361114443416234
oct6220210167074431
91058508508575080
10221020122020121
116447311a996876
122095721b806109
139643153599618
143c8160689441b
151a84391eab7b6
hexc90441dc7919

221020122020121 has 48 divisors (see below), whose sum is σ = 343223041761600. Its totient is φ = 136644600087936.

The previous prime is 221020122020107. The next prime is 221020122020123. The reversal of 221020122020121 is 121020221020122.

It is a happy number.

221020122020121 is a `hidden beast` number, since 2 + 21 + 0 + 201 + 220 + 201 + 21 = 666.

It is not a de Polignac number, because 221020122020121 - 233 = 221011532085529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221020122020094 and 221020122020103.

It is not an unprimeable number, because it can be changed into a prime (221020122020123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69886330 + ... + 72980403.

It is an arithmetic number, because the mean of its divisors is an integer number (7150480036700).

Almost surely, 2221020122020121 is an apocalyptic number.

It is an amenable number.

221020122020121 is a deficient number, since it is larger than the sum of its proper divisors (122202919741479).

221020122020121 is a wasteful number, since it uses less digits than its factorization.

221020122020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142866950 (or 142866947 counting only the distinct ones).

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

Adding to 221020122020121 its reverse (121020221020122), we get a palindrome (342040343040243).

Subtracting from 221020122020121 its reverse (121020221020122), we obtain a palindrome (99999900999999).

The spelling of 221020122020121 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty-two million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 19 57 83 109 171 249 327 747 981 1577 2071 4731 6213 9047 14193 18639 27141 81423 171893 515679 1547037 142866733 428600199 1285800597 2714467927 8143403781 11857938839 15572473897 24430211343 35573816517 46717421691 106721449551 140152265073 225300837941 295877004043 675902513823 887631012129 1292515333451 2027707541469 2662893036387 3877546000353 11632638001059 24557791335569 73673374006707 221020122020121