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101100000007 is a prime number
BaseRepresentation
bin101111000101000000…
…1111001001100000111
3100122221211111010120201
41132022001321030013
53124023100000012
6114240015511331
710206231551416
oct1361201711407
9318854433521
10101100000007
1139970350416
1217716228547
1396c2690416
144c7119d47d
15296aac0857
hex178a079307

101100000007 has 2 divisors, whose sum is σ = 101100000008. Its totient is φ = 101100000006.

The previous prime is 101099999993. The next prime is 101100000047. The reversal of 101100000007 is 700000001101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101100000007 - 223 = 101091611399 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101099999939 and 101100000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550000003 + 50550000004.

It is an arithmetic number, because the mean of its divisors is an integer number (50550000004).

Almost surely, 2101100000007 is an apocalyptic number.

101100000007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100000007 is an equidigital number, since it uses as much as digits as its factorization.

101100000007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

Adding to 101100000007 its reverse (700000001101), we get a palindrome (801100001108).

The spelling of 101100000007 in words is "one hundred one billion, one hundred million, seven", and thus it is an aban number.