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10083406967 is a prime number
BaseRepresentation
bin10010110010000010…
…01001010001110111
3222000201201010222022
421121001021101313
5131122323010332
64344322223355
7504606354644
oct113101112167
928021633868
1010083406967
114304902997
121b54ab4b5b
13c490714ca
146b9274dcb
153e0386212
hex259049477

10083406967 has 2 divisors, whose sum is σ = 10083406968. Its totient is φ = 10083406966.

The previous prime is 10083406961. The next prime is 10083406969. The reversal of 10083406967 is 76960438001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10083406967 - 26 = 10083406903 is a prime.

It is a super-4 number, since 4×100834069674 (a number of 41 digits) contains 4444 as substring.

Together with 10083406969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10083406961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041703483 + 5041703484.

It is an arithmetic number, because the mean of its divisors is an integer number (5041703484).

Almost surely, 210083406967 is an apocalyptic number.

10083406967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083406967 is an equidigital number, since it uses as much as digits as its factorization.

10083406967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10083406967 in words is "ten billion, eighty-three million, four hundred six thousand, nine hundred sixty-seven".