Search a number
-
+
101104142033 is a prime number
BaseRepresentation
bin101111000101001000…
…1101100011011010001
3100122222010021120101002
41132022101230123101
53124030130021113
6114240244351345
710206312012326
oct1361221543321
9318863246332
10101104142033
113997271a384
12177176a5555
1396c34b081b
144c7195ab4d
15296b13cc58
hex178a46c6d1

101104142033 has 2 divisors, whose sum is σ = 101104142034. Its totient is φ = 101104142032.

The previous prime is 101104141997. The next prime is 101104142053. The reversal of 101104142033 is 330241401101.

It is an a-pointer prime, because the next prime (101104142053) can be obtained adding 101104142033 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58489971409 + 42614170624 = 241847^2 + 206432^2 .

It is a cyclic number.

It is not a de Polignac number, because 101104142033 - 26 = 101104141969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101104141996 and 101104142014.

It is not a weakly prime, because it can be changed into another prime (101104142053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552071016 + 50552071017.

It is an arithmetic number, because the mean of its divisors is an integer number (50552071017).

Almost surely, 2101104142033 is an apocalyptic number.

It is an amenable number.

101104142033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101104142033 is an equidigital number, since it uses as much as digits as its factorization.

101104142033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101104142033 its reverse (330241401101), we get a palindrome (431345543134).

The spelling of 101104142033 in words is "one hundred one billion, one hundred four million, one hundred forty-two thousand, thirty-three".