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110120032117 is a prime number
BaseRepresentation
bin110011010001110101…
…0100101011101110101
3101112020110021020111001
41212203222211131311
53301011212011432
6122331034243301
710645606554214
oct1464352453565
9345213236431
10110120032117
1142779984007
1219412b86531
13a4cc335624
14548910b07b
152ce79079e7
hex19a3aa5775

110120032117 has 2 divisors, whose sum is σ = 110120032118. Its totient is φ = 110120032116.

The previous prime is 110120032013. The next prime is 110120032147. The reversal of 110120032117 is 711230021011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60812053201 + 49307978916 = 246601^2 + 222054^2 .

It is an emirp because it is prime and its reverse (711230021011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110120032117 - 215 = 110119999349 is a prime.

It is a super-2 number, since 2×1101200321172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110120032094 and 110120032103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110120032147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060016058 + 55060016059.

It is an arithmetic number, because the mean of its divisors is an integer number (55060016059).

Almost surely, 2110120032117 is an apocalyptic number.

It is an amenable number.

110120032117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110120032117 is an equidigital number, since it uses as much as digits as its factorization.

110120032117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 110120032117 its reverse (711230021011), we get a palindrome (821350053128).

The spelling of 110120032117 in words is "one hundred ten billion, one hundred twenty million, thirty-two thousand, one hundred seventeen".