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101816650541 is a prime number
BaseRepresentation
bin101111011010010111…
…1101100101100101101
3100201210202222202022002
41132310233230230231
53132010030304131
6114435100102045
710233053151524
oct1366457545455
9321722882262
10101816650541
113a1a8932591
1217896234925
1397a7cac4a8
144cdc42d4bb
1529ad9816cb
hex17b4becb2d

101816650541 has 2 divisors, whose sum is σ = 101816650542. Its totient is φ = 101816650540.

The previous prime is 101816650477. The next prime is 101816650583. The reversal of 101816650541 is 145056618101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73037224516 + 28779426025 = 270254^2 + 169645^2 .

It is an emirp because it is prime and its reverse (145056618101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101816650541 - 26 = 101816650477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101816650495 and 101816650504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101816650141) 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, 50908325270 + 50908325271.

It is an arithmetic number, because the mean of its divisors is an integer number (50908325271).

Almost surely, 2101816650541 is an apocalyptic number.

It is an amenable number.

101816650541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101816650541 is an equidigital number, since it uses as much as digits as its factorization.

101816650541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 101816650541 in words is "one hundred one billion, eight hundred sixteen million, six hundred fifty thousand, five hundred forty-one".