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222121113001 is a prime number
BaseRepresentation
bin1100111011011101110…
…0110011010110101001
3210020100000001122202221
43032313130303112221
512114401001104001
6250012510154041
722022240210554
oct3166734632651
9706300048687
10222121113001
1186223639877
123706bab2921
1317c3b297858
14aa71d8b69b
155ba05281a1
hex33b77335a9

222121113001 has 2 divisors, whose sum is σ = 222121113002. Its totient is φ = 222121113000.

The previous prime is 222121112999. The next prime is 222121113007. The reversal of 222121113001 is 100311121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149383023001 + 72738090000 = 386501^2 + 269700^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121113001 - 21 = 222121112999 is a prime.

It is a super-2 number, since 2×2221211130012 (a number of 23 digits) contains 22 as substring.

Together with 222121112999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (222121113007) 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 as a sum of consecutive naturals, namely, 111060556500 + 111060556501.

It is an arithmetic number, because the mean of its divisors is an integer number (111060556501).

Almost surely, 2222121113001 is an apocalyptic number.

It is an amenable number.

222121113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121113001 is an equidigital number, since it uses as much as digits as its factorization.

222121113001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 222121113001 its reverse (100311121222), we get a palindrome (322432234223).

The spelling of 222121113001 in words is "two hundred twenty-two billion, one hundred twenty-one million, one hundred thirteen thousand, one".