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1022100047 is a prime number
BaseRepresentation
bin111100111011000…
…000001001001111
32122020021001200022
4330323000021033
54043124200142
6245231052355
734220464343
oct7473001117
92566231608
101022100047
11484a48991
122463710bb
131339a7437
1499a61623
155eae96d2
hex3cec024f

1022100047 has 2 divisors, whose sum is σ = 1022100048. Its totient is φ = 1022100046.

The previous prime is 1022100043. The next prime is 1022100049. The reversal of 1022100047 is 7400012201.

1022100047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1022100047 - 22 = 1022100043 is a prime.

Together with 1022100049, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022099998 and 1022100034.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022100043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050023 + 511050024.

It is an arithmetic number, because the mean of its divisors is an integer number (511050024).

Almost surely, 21022100047 is an apocalyptic number.

1022100047 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100047 is an equidigital number, since it uses as much as digits as its factorization.

1022100047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 1022100047 is about 31970.2994512094. The cubic root of 1022100047 is about 1007.3130709564.

Adding to 1022100047 its reverse (7400012201), we get a palindrome (8422112248).

The spelling of 1022100047 in words is "one billion, twenty-two million, one hundred thousand, forty-seven".