Search a number
-
+
103553541101 is a prime number
BaseRepresentation
bin110000001110001000…
…1011010001111101101
3100220021211020221020002
41200130101122033231
53144034201303401
6115323303434045
710324103401433
oct1403421321755
9326254227202
10103553541101
113aa0a30212a
121809ba55925
1399c3aa419a
145024d98d53
152a611c0a6b
hex181c45a3ed

103553541101 has 2 divisors, whose sum is σ = 103553541102. Its totient is φ = 103553541100.

The previous prime is 103553541071. The next prime is 103553541103. The reversal of 103553541101 is 101145355301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82274317225 + 21279223876 = 286835^2 + 145874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103553541101 is a prime.

It is a super-3 number, since 3×1035535411013 (a number of 34 digits) contains 333 as substring.

Together with 103553541103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103553541103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51776770550 + 51776770551.

It is an arithmetic number, because the mean of its divisors is an integer number (51776770551).

Almost surely, 2103553541101 is an apocalyptic number.

It is an amenable number.

103553541101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103553541101 is an equidigital number, since it uses as much as digits as its factorization.

103553541101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 103553541101 its reverse (101145355301), we get a palindrome (204698896402).

The spelling of 103553541101 in words is "one hundred three billion, five hundred fifty-three million, five hundred forty-one thousand, one hundred one".