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100022010017 is a prime number
BaseRepresentation
bin101110100100111000…
…1101100000010100001
3100120011201001120022112
41131021301230002201
53114321113310032
6113541030445105
710140432025436
oct1351161540241
9316151046275
10100022010017
11394678a95a6
1217475203795
139580247a17
144babd4db8d
1529061361b2
hex1749c6c0a1

100022010017 has 2 divisors, whose sum is σ = 100022010018. Its totient is φ = 100022010016.

The previous prime is 100022010013. The next prime is 100022010019. The reversal of 100022010017 is 710010220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81197072401 + 18824937616 = 284951^2 + 137204^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022010017 - 22 = 100022010013 is a prime.

Together with 100022010019, 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 = 100022009983 and 100022010010.

It is not a weakly prime, because it can be changed into another prime (100022010013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011005008 + 50011005009.

It is an arithmetic number, because the mean of its divisors is an integer number (50011005009).

Almost surely, 2100022010017 is an apocalyptic number.

It is an amenable number.

100022010017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022010017 is an equidigital number, since it uses as much as digits as its factorization.

100022010017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 100022010017 its reverse (710010220001), we get a palindrome (810032230018).

The spelling of 100022010017 in words is "one hundred billion, twenty-two million, ten thousand, seventeen".