Search a number
-
+
1105006128917 is a prime number
BaseRepresentation
bin10000000101000111011…
…111110110111100010101
310220122012202222110120212
4100011013133312330111
5121101023032111132
62203344404135205
7142556040056405
oct20050737667425
93818182873525
101105006128917
113966a3174819
1215a1a8397505
1380280ca1732
143b6a82c2805
151db252185b2
hex101477f6f15

1105006128917 has 2 divisors, whose sum is σ = 1105006128918. Its totient is φ = 1105006128916.

The previous prime is 1105006128911. The next prime is 1105006128923. The reversal of 1105006128917 is 7198216005011.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1105006128911) and next prime (1105006128923).

It can be written as a sum of positive squares in only one way, i.e., 837607513681 + 267398615236 = 915209^2 + 517106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1105006128917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1105006128911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 552503064458 + 552503064459.

It is an arithmetic number, because the mean of its divisors is an integer number (552503064459).

Almost surely, 21105006128917 is an apocalyptic number.

It is an amenable number.

1105006128917 is a deficient number, since it is larger than the sum of its proper divisors (1).

1105006128917 is an equidigital number, since it uses as much as digits as its factorization.

1105006128917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 41.

The spelling of 1105006128917 in words is "one trillion, one hundred five billion, six million, one hundred twenty-eight thousand, nine hundred seventeen".