Search a number
-
+
33531345101 is a prime number
BaseRepresentation
bin11111001110100111…
…111011100011001101
310012112212010211011102
4133032213323203031
51022133011020401
623223141032445
72264636505422
oct371647734315
9105485124142
1033531345101
111324762a961
1265b96b5725
133214b87a07
1418a1445d49
15d13b7856b
hex7ce9fb8cd

33531345101 has 2 divisors, whose sum is σ = 33531345102. Its totient is φ = 33531345100.

The previous prime is 33531345077. The next prime is 33531345119. The reversal of 33531345101 is 10154313533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18247957225 + 15283387876 = 135085^2 + 123626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33531345101 is a prime.

It is a super-2 number, since 2×335313451012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33531345131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16765672550 + 16765672551.

It is an arithmetic number, because the mean of its divisors is an integer number (16765672551).

Almost surely, 233531345101 is an apocalyptic number.

It is an amenable number.

33531345101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33531345101 is an equidigital number, since it uses as much as digits as its factorization.

33531345101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 33531345101 its reverse (10154313533), we get a palindrome (43685658634).

The spelling of 33531345101 in words is "thirty-three billion, five hundred thirty-one million, three hundred forty-five thousand, one hundred one".