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103605162541 is a prime number
BaseRepresentation
bin110000001111101011…
…0010101001000101101
3100220102102101120112021
41200133112111020231
53144140410200131
6115332350110141
710325301231316
oct1403726251055
9326372346467
10103605162541
113aa36460081
12180b51ab351
139a016a960a
14502bb9560d
152a659bae11
hex181f59522d

103605162541 has 2 divisors, whose sum is σ = 103605162542. Its totient is φ = 103605162540.

The previous prime is 103605162539. The next prime is 103605162571. The reversal of 103605162541 is 145261506301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52153313641 + 51451848900 = 228371^2 + 226830^2 .

It is an emirp because it is prime and its reverse (145261506301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103605162541 - 21 = 103605162539 is a prime.

It is a super-3 number, since 3×1036051625413 (a number of 34 digits) contains 333 as substring.

Together with 103605162539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 103605162497 and 103605162506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103605162571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51802581270 + 51802581271.

It is an arithmetic number, because the mean of its divisors is an integer number (51802581271).

Almost surely, 2103605162541 is an apocalyptic number.

It is an amenable number.

103605162541 is a deficient number, since it is larger than the sum of its proper divisors (1).

103605162541 is an equidigital number, since it uses as much as digits as its factorization.

103605162541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 103605162541 its reverse (145261506301), we get a palindrome (248866668842).

The spelling of 103605162541 in words is "one hundred three billion, six hundred five million, one hundred sixty-two thousand, five hundred forty-one".