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101411077133 is a prime number
BaseRepresentation
bin101111001110010010…
…0100011110000001101
3100200202111211111011202
41132130210203300031
53130142213432013
6114330531155245
710220026635002
oct1363444436015
9320674744152
10101411077133
113a00aa00253
12177a2445b25
139741c69122
144ca06178a9
15298806b858
hex179c923c0d

101411077133 has 2 divisors, whose sum is σ = 101411077134. Its totient is φ = 101411077132.

The previous prime is 101411077123. The next prime is 101411077169. The reversal of 101411077133 is 331770114101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93255722884 + 8155354249 = 305378^2 + 90307^2 .

It is a cyclic number.

It is not a de Polignac number, because 101411077133 - 26 = 101411077069 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101411077096 and 101411077105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101411077123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50705538566 + 50705538567.

It is an arithmetic number, because the mean of its divisors is an integer number (50705538567).

Almost surely, 2101411077133 is an apocalyptic number.

It is an amenable number.

101411077133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101411077133 is an equidigital number, since it uses as much as digits as its factorization.

101411077133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 29.

The spelling of 101411077133 in words is "one hundred one billion, four hundred eleven million, seventy-seven thousand, one hundred thirty-three".