Search a number
-
+
101101000937 is a prime number
BaseRepresentation
bin101111000101000010…
…1101101100011101001
3100122221220100222121012
41132022011231203221
53124023324012222
6114240053153305
710206243220526
oct1361205554351
9318856328535
10101101000937
1139970974432
121771662b835
1396c2950ba1
144c7138014d
15296ac1c1e2
hex178a16d8e9

101101000937 has 2 divisors, whose sum is σ = 101101000938. Its totient is φ = 101101000936.

The previous prime is 101101000927. The next prime is 101101000961. The reversal of 101101000937 is 739000101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89930413456 + 11170587481 = 299884^2 + 105691^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101000937 - 26 = 101101000873 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101000907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500468 + 50550500469.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500469).

Almost surely, 2101101000937 is an apocalyptic number.

It is an amenable number.

101101000937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000937 is an equidigital number, since it uses as much as digits as its factorization.

101101000937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 23.

The spelling of 101101000937 in words is "one hundred one billion, one hundred one million, nine hundred thirty-seven", and thus it is an aban number.