Search a number
-
+
221102220120201 = 357541240265561
BaseRepresentation
bin110010010001011101011111…
…010010100001000010001001
31001222212011110212201010100000
4302101131133102201002021
5212440014321322321301
62102124542510033213
764400052062642550
oct6221353722410211
91058764425633300
10221102220120201
11644a4a1a153562
122096b1121a8809
13964ab082a5574
143c85594142d97
151a86599769786
hexc9175f4a1089

221102220120201 has 48 divisors (see below), whose sum is σ = 379212097566848. Its totient is φ = 126110587132800.

The previous prime is 221102220120181. The next prime is 221102220120227. The reversal of 221102220120201 is 102021022201122.

It is a happy number.

221102220120201 is a `hidden beast` number, since 2 + 21 + 102 + 220 + 120 + 201 = 666.

It is not a de Polignac number, because 221102220120201 - 245 = 185917848031369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221102220120251) 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, 119212540 + ... + 121053021.

Almost surely, 2221102220120201 is an apocalyptic number.

221102220120201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221102220120201 is a deficient number, since it is larger than the sum of its proper divisors (158109877446647).

221102220120201 is an equidigital number, since it uses as much as digits as its factorization.

221102220120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240266124 (or 240266112 counting only the distinct ones).

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

Adding to 221102220120201 its reverse (102021022201122), we get a palindrome (323123242321323).

The spelling of 221102220120201 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 243 541 567 1623 1701 3787 4869 11361 14607 34083 43821 102249 131463 306747 920241 240265561 720796683 1681858927 2162390049 5045576781 6487170147 15136730343 19461510441 45410191029 58384531323 129983668501 136230573087 389951005503 408691719261 909885679507 1169853016509 2729657038521 3509559049527 8188971115563 10528677148581 24566913346689 31586031445743 73700740040067 221102220120201