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110130112033 is a prime number
BaseRepresentation
bin110011010010001000…
…1000010011000100001
3101112021011020100112021
41212210101002120201
53301021302041113
6122332034301441
710646061335554
oct1464421023041
9345234210467
10110130112033
1142784639217
1219416427881
13a501454686
14548a5b269b
152ce874948d
hex19a4442621

110130112033 has 2 divisors, whose sum is σ = 110130112034. Its totient is φ = 110130112032.

The previous prime is 110130112007. The next prime is 110130112061. The reversal of 110130112033 is 330211031011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103485742864 + 6644369169 = 321692^2 + 81513^2 .

It is an emirp because it is prime and its reverse (330211031011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110130112033 is a prime.

It is a super-2 number, since 2×1101301120332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110130111998 and 110130112016.

It is not a weakly prime, because it can be changed into another prime (110130112073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55065056016 + 55065056017.

It is an arithmetic number, because the mean of its divisors is an integer number (55065056017).

Almost surely, 2110130112033 is an apocalyptic number.

It is an amenable number.

110130112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

110130112033 is an equidigital number, since it uses as much as digits as its factorization.

110130112033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110130112033 its reverse (330211031011), we get a palindrome (440341143044).

The spelling of 110130112033 in words is "one hundred ten billion, one hundred thirty million, one hundred twelve thousand, thirty-three".