Search a number
-
+
105355363303 = 6789147112011
BaseRepresentation
bin110001000011110101…
…0110100001111100111
3101001221101200222121201
41202013222310033213
53211231433111203
6120222151023331
710416542545411
oct1420752641747
9331841628551
10105355363303
11407543a0893
121850336ab47
139c20181778
1451563c79b1
152b19488e1d
hex1887ab43e7

105355363303 has 16 divisors (see below), whose sum is σ = 108211783680. Its totient is φ = 102538497600.

The previous prime is 105355363277. The next prime is 105355363339. The reversal of 105355363303 is 303363553501.

It is a cyclic number.

It is not a de Polignac number, because 105355363303 - 25 = 105355363271 is a prime.

It is a super-2 number, since 2×1053553633032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355363903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8765568 + ... + 8777578.

It is an arithmetic number, because the mean of its divisors is an integer number (6763236480).

Almost surely, 2105355363303 is an apocalyptic number.

105355363303 is a deficient number, since it is larger than the sum of its proper divisors (2856420377).

105355363303 is a wasteful number, since it uses less digits than its factorization.

105355363303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13638.

The product of its (nonzero) digits is 182250, while the sum is 37.

The spelling of 105355363303 in words is "one hundred five billion, three hundred fifty-five million, three hundred sixty-three thousand, three hundred three".

Divisors: 1 67 89 1471 5963 12011 98557 130919 804737 1068979 8771573 17668181 71621593 1183768127 1572468109 105355363303