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221201012201 = 1325212512249
BaseRepresentation
bin1100111000000010011…
…0111001010111101001
3210010221212201200202112
43032000212321113221
512111004424342301
6245341321212105
721660365403131
oct3160046712751
9703855650675
10221201012201
11858a1228494
1236a53931035
1317b22783c00
14a9c5abbac1
155b4987a9bb
hex33809b95e9

221201012201 has 12 divisors (see below), whose sum is σ = 239985193500. Its totient is φ = 203793557760.

The previous prime is 221201012191. The next prime is 221201012209. The reversal of 221201012201 is 102210102122.

221201012201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31060537600 + 190140474601 = 176240^2 + 436051^2 .

It is a de Polignac number, because none of the positive numbers 2k-221201012201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221201012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168076 + ... + 1344173.

It is an arithmetic number, because the mean of its divisors is an integer number (19998766125).

Almost surely, 2221201012201 is an apocalyptic number.

It is an amenable number.

221201012201 is a deficient number, since it is larger than the sum of its proper divisors (18784181299).

221201012201 is a wasteful number, since it uses less digits than its factorization.

221201012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512796 (or 2512783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221201012201 its reverse (102210102122), we get a palindrome (323411114323).

The spelling of 221201012201 in words is "two hundred twenty-one billion, two hundred one million, twelve thousand, two hundred one".

Divisors: 1 13 169 521 6773 88049 2512249 32659237 424570081 1308881729 17015462477 221201012201