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1000122100213 is a prime number
BaseRepresentation
bin11101000110110111110…
…11000010100111110101
310112121111020011202111011
432203123323002213311
5112341222224201323
62043241051312221
7132153646405225
oct16433373024765
93477436152434
101000122100213
11356170941665
121419b6a4b671
13734076796a2
143659874c085
151b03733420d
hexe8dbec29f5

1000122100213 has 2 divisors, whose sum is σ = 1000122100214. Its totient is φ = 1000122100212.

The previous prime is 1000122100193. The next prime is 1000122100253. The reversal of 1000122100213 is 3120012210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 957065020209 + 43057080004 = 978297^2 + 207502^2 .

It is an emirp because it is prime and its reverse (3120012210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000122100213 - 25 = 1000122100181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000122100193 and 1000122100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000122100253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500061050106 + 500061050107.

It is an arithmetic number, because the mean of its divisors is an integer number (500061050107).

Almost surely, 21000122100213 is an apocalyptic number.

It is an amenable number.

1000122100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000122100213 is an equidigital number, since it uses as much as digits as its factorization.

1000122100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1000122100213 its reverse (3120012210001), we get a palindrome (4120134310214).

The spelling of 1000122100213 in words is "one trillion, one hundred twenty-two million, one hundred thousand, two hundred thirteen".