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2100122000047 is a prime number
BaseRepresentation
bin11110100011111001000…
…001101001101010101111
321102202210010001102211001
4132203321001221222233
5233402022213000142
64244441022541131
7304504660314601
oct36437101515257
97382703042731
102100122000047
1173a725134375
1229b0267377a7
1312306b41b196
1473909bcb171
1539967cb55b7
hex1e8f9069aaf

2100122000047 has 2 divisors, whose sum is σ = 2100122000048. Its totient is φ = 2100122000046.

The previous prime is 2100122000003. The next prime is 2100122000051. The reversal of 2100122000047 is 7400002210012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100122000047 - 219 = 2100121475759 is a prime.

It is a super-2 number, since 2×21001220000472 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100121999988 and 2100122000033.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100162000047) 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, 1050061000023 + 1050061000024.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061000024).

Almost surely, 22100122000047 is an apocalyptic number.

2100122000047 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122000047 is an equidigital number, since it uses as much as digits as its factorization.

2100122000047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 2100122000047 its reverse (7400002210012), we get a palindrome (9500124210059).

The spelling of 2100122000047 in words is "two trillion, one hundred billion, one hundred twenty-two million, forty-seven", and thus it is an aban number.