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110110110011117 is a prime number
BaseRepresentation
bin11001000010010100000001…
…111111100100111011101101
3112102212102102212221220100222
4121002110001333210323231
5103413021001130323432
61030103515231301125
732123123113256246
oct3102240177447355
9472772385856328
10110110110011117
11320a248759a287
12104240b107a7a5
1349594535087a8
141d2950199dccd
15cae33b2db112
hex642501fe4eed

110110110011117 has 2 divisors, whose sum is σ = 110110110011118. Its totient is φ = 110110110011116.

The previous prime is 110110110011113. The next prime is 110110110011137. The reversal of 110110110011117 is 711110011011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107325580357636 + 2784529653481 = 10359806^2 + 1668691^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110110011117 - 22 = 110110110011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110110011095 and 110110110011104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110110011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055055005558 + 55055055005559.

It is an arithmetic number, because the mean of its divisors is an integer number (55055055005559).

Almost surely, 2110110110011117 is an apocalyptic number.

It is an amenable number.

110110110011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110110011117 is an equidigital number, since it uses as much as digits as its factorization.

110110110011117 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 17.

Adding to 110110110011117 its reverse (711110011011011), we get a palindrome (821220121022128).

The spelling of 110110110011117 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, eleven thousand, one hundred seventeen".