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20221004101 is a prime number
BaseRepresentation
bin10010110101010001…
…000000100101000101
31221012020101102212211
4102311101000211011
5312403034112401
613142302143421
71314044461504
oct226521004505
957166342784
1020221004101
118637258741
123b03b81b71
131ba34073ac
14d9b7b483b
157d5373951
hex4b5440945

20221004101 has 2 divisors, whose sum is σ = 20221004102. Its totient is φ = 20221004100.

The previous prime is 20221004099. The next prime is 20221004147. The reversal of 20221004101 is 10140012202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15894653476 + 4326350625 = 126074^2 + 65775^2 .

It is a cyclic number.

It is not a de Polignac number, because 20221004101 - 21 = 20221004099 is a prime.

Together with 20221004099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20221004801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10110502050 + 10110502051.

It is an arithmetic number, because the mean of its divisors is an integer number (10110502051).

Almost surely, 220221004101 is an apocalyptic number.

It is an amenable number.

20221004101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221004101 is an equidigital number, since it uses as much as digits as its factorization.

20221004101 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 20221004101 its reverse (10140012202), we get a palindrome (30361016303).

The spelling of 20221004101 in words is "twenty billion, two hundred twenty-one million, four thousand, one hundred one".