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101003120117 is a prime number
BaseRepresentation
bin101111000010001000…
…0010100110111110101
3100122201002012010100122
41132010100110313311
53123323244320432
6114222235221325
710203644232644
oct1360420246765
9318632163318
10101003120117
11399206a0099
12176a98a7845
1396a859cb43
144c6238135b
152962335612
hex1784414df5

101003120117 has 2 divisors, whose sum is σ = 101003120118. Its totient is φ = 101003120116.

The previous prime is 101003120093. The next prime is 101003120123. The reversal of 101003120117 is 711021300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93690475921 + 7312644196 = 306089^2 + 85514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101003120117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101003120095 and 101003120104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003120717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501560058 + 50501560059.

It is an arithmetic number, because the mean of its divisors is an integer number (50501560059).

Almost surely, 2101003120117 is an apocalyptic number.

It is an amenable number.

101003120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003120117 is an equidigital number, since it uses as much as digits as its factorization.

101003120117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 101003120117 its reverse (711021300101), we get a palindrome (812024420218).

The spelling of 101003120117 in words is "one hundred one billion, three million, one hundred twenty thousand, one hundred seventeen".