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101010111017 is a prime number
BaseRepresentation
bin101111000010010101…
…0111111101000101001
3100122201120100022001212
41132010222333220221
53123332042023032
6114223045122505
710204060530404
oct1360452775051
9318646308055
10101010111017
11399246354a2
12176b00b9435
1396a9b79b7a
144c63280d3b
152962c66bb2
hex1784abfa29

101010111017 has 2 divisors, whose sum is σ = 101010111018. Its totient is φ = 101010111016.

The previous prime is 101010111001. The next prime is 101010111031. The reversal of 101010111017 is 710111010101.

It is an a-pointer prime, because the next prime (101010111031) can be obtained adding 101010111017 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79558407721 + 21451703296 = 282061^2 + 146464^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010111017 - 24 = 101010111001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010110992 and 101010111010.

It is not a weakly prime, because it can be changed into another prime (101010111077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055508 + 50505055509.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055509).

Almost surely, 2101010111017 is an apocalyptic number.

It is an amenable number.

101010111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111017 is an equidigital number, since it uses as much as digits as its factorization.

101010111017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 101010111017 its reverse (710111010101), we get a palindrome (811121121118).

The spelling of 101010111017 in words is "one hundred one billion, ten million, one hundred eleven thousand, seventeen".