Search a number
-
+
4405106102713 is a prime number
BaseRepresentation
bin100000000011010010011…
…0010001101000110111001
3120121010100102021222001021
41000012210302031012321
51034133124130241323
613211402223422441
7633154431032011
oct100064462150671
916533312258037
104405106102713
111449216610568
125b18a5154a21
1325c527264b14
141132cb702c41
15798c0cb805d
hex401a4c8d1b9

4405106102713 has 2 divisors, whose sum is σ = 4405106102714. Its totient is φ = 4405106102712.

The previous prime is 4405106102671. The next prime is 4405106102737. The reversal of 4405106102713 is 3172016015044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2765559022009 + 1639547080704 = 1662997^2 + 1280448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4405106102713 is a prime.

It is not a weakly prime, because it can be changed into another prime (4405106102773) 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, 2202553051356 + 2202553051357.

It is an arithmetic number, because the mean of its divisors is an integer number (2202553051357).

Almost surely, 24405106102713 is an apocalyptic number.

It is an amenable number.

4405106102713 is a deficient number, since it is larger than the sum of its proper divisors (1).

4405106102713 is an equidigital number, since it uses as much as digits as its factorization.

4405106102713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 4405106102713 in words is "four trillion, four hundred five billion, one hundred six million, one hundred two thousand, seven hundred thirteen".