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100010110517 is a prime number
BaseRepresentation
bin101110100100100010…
…0010010111000110101
3100120010212200000021022
41131021010102320311
53114310042014032
6113535523430525
710140225625142
oct1351104227065
9316125600238
10100010110517
11394611112a9
1217471225445
13957a93c6b5
144baa5333c9
152905085512
hex1749112e35

100010110517 has 2 divisors, whose sum is σ = 100010110518. Its totient is φ = 100010110516.

The previous prime is 100010110397. The next prime is 100010110531. The reversal of 100010110517 is 715011010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63912390481 + 36097720036 = 252809^2 + 189994^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010110517 - 218 = 100009848373 is a prime.

It is a super-3 number, since 3×1000101105173 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010110495 and 100010110504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010110567) 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, 50005055258 + 50005055259.

It is an arithmetic number, because the mean of its divisors is an integer number (50005055259).

Almost surely, 2100010110517 is an apocalyptic number.

It is an amenable number.

100010110517 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010110517 is an equidigital number, since it uses as much as digits as its factorization.

100010110517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 100010110517 its reverse (715011010001), we get a palindrome (815021120518).

The spelling of 100010110517 in words is "one hundred billion, ten million, one hundred ten thousand, five hundred seventeen".