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106100100111113 is a prime number
BaseRepresentation
bin11000000111111101011010…
…110001110001101100001001
3111220200001220101212121001122
4120013331122301301230021
5102401321001112023423
61013353414010325025
731230323250436163
oct3007753261615411
9456601811777048
10106100100111113
1130896888541689
12ba96ab0a29775
134728272967704
141c2b3b5081933
15c3ed916698c8
hex607f5ac71b09

106100100111113 has 2 divisors, whose sum is σ = 106100100111114. Its totient is φ = 106100100111112.

The previous prime is 106100100111097. The next prime is 106100100111197. The reversal of 106100100111113 is 311111001001601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105444084348409 + 656015762704 = 10268597^2 + 809948^2 .

It is a cyclic number.

It is not a de Polignac number, because 106100100111113 - 24 = 106100100111097 is a prime.

It is a super-2 number, since 2×1061001001111132 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106100100111091 and 106100100111100.

It is not a weakly prime, because it can be changed into another prime (106100100111613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050050055556 + 53050050055557.

It is an arithmetic number, because the mean of its divisors is an integer number (53050050055557).

Almost surely, 2106100100111113 is an apocalyptic number.

It is an amenable number.

106100100111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

106100100111113 is an equidigital number, since it uses as much as digits as its factorization.

106100100111113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 106100100111113 its reverse (311111001001601), we get a palindrome (417211101112714).

The spelling of 106100100111113 in words is "one hundred six trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred thirteen".