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55111616101 is a prime number
BaseRepresentation
bin110011010100111010…
…001000011001100101
312021020211020011200201
4303110322020121211
51400332033203401
641152401110501
73660501002413
oct632472103145
9167224204621
1055111616101
1121411085973
12a820928431
135273a7b439
14294b5682b3
1516784e7b01
hexcd4e88665

55111616101 has 2 divisors, whose sum is σ = 55111616102. Its totient is φ = 55111616100.

The previous prime is 55111616099. The next prime is 55111616111. The reversal of 55111616101 is 10161611155.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38416392001 + 16695224100 = 196001^2 + 129210^2 .

It is a cyclic number.

It is not a de Polignac number, because 55111616101 - 21 = 55111616099 is a prime.

Together with 55111616099, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 55111616101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55111616111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27555808050 + 27555808051.

It is an arithmetic number, because the mean of its divisors is an integer number (27555808051).

Almost surely, 255111616101 is an apocalyptic number.

It is an amenable number.

55111616101 is a deficient number, since it is larger than the sum of its proper divisors (1).

55111616101 is an equidigital number, since it uses as much as digits as its factorization.

55111616101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 28.

The spelling of 55111616101 in words is "fifty-five billion, one hundred eleven million, six hundred sixteen thousand, one hundred one".