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110022112033 is a prime number
BaseRepresentation
bin110011001110111010…
…1000011001100100001
3101111222122000101101021
41212131311003030201
53300311130041113
6122313215405441
710643310344011
oct1463565031441
9344878011337
10110022112033
1142729683219
12193a6223881
13a4b4c6c752
14547a0dbc41
152cde01448d
hex199dd43321

110022112033 has 2 divisors, whose sum is σ = 110022112034. Its totient is φ = 110022112032.

The previous prime is 110022112003. The next prime is 110022112037. The reversal of 110022112033 is 330211220011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90281019024 + 19741093009 = 300468^2 + 140503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110022112033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110022111998 and 110022112016.

It is not a weakly prime, because it can be changed into another prime (110022112037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55011056016 + 55011056017.

It is an arithmetic number, because the mean of its divisors is an integer number (55011056017).

Almost surely, 2110022112033 is an apocalyptic number.

It is an amenable number.

110022112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

110022112033 is an equidigital number, since it uses as much as digits as its factorization.

110022112033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110022112033 its reverse (330211220011), we get a palindrome (440233332044).

The spelling of 110022112033 in words is "one hundred ten billion, twenty-two million, one hundred twelve thousand, thirty-three".