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221210202001 is a prime number
BaseRepresentation
bin1100111000000100100…
…1111100111110010001
3210010222112000120210111
43032001021330332101
512111014302431001
6245342250201321
721660536456425
oct3160111747621
9703875016714
10221210202001
11858a6434968
1236a56a23241
1317b24650a69
14a9c6dd0b85
155b4a593851
hex338127cf91

221210202001 has 2 divisors, whose sum is σ = 221210202002. Its totient is φ = 221210202000.

The previous prime is 221210201969. The next prime is 221210202067. The reversal of 221210202001 is 100202012122.

It is a happy number.

221210202001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209009894976 + 12200307025 = 457176^2 + 110455^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210202001 - 25 = 221210201969 is a prime.

It is not a weakly prime, because it can be changed into another prime (221210202071) 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 as a sum of consecutive naturals, namely, 110605101000 + 110605101001.

It is an arithmetic number, because the mean of its divisors is an integer number (110605101001).

Almost surely, 2221210202001 is an apocalyptic number.

It is an amenable number.

221210202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210202001 is an equidigital number, since it uses as much as digits as its factorization.

221210202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221210202001 its reverse (100202012122), we get a palindrome (321412214123).

The spelling of 221210202001 in words is "two hundred twenty-one billion, two hundred ten million, two hundred two thousand, one".