Search a number
-
+
3311313000003 = 3216388111632203
BaseRepresentation
bin110000001011111001101…
…000101001011001000011
3102201120002002121020201100
4300023321220221121003
5413223032112000003
611013110213305443
7461143265044641
oct60137150513103
912646062536640
103311313000003
111067357954358
12455908035283
131b0342386148
14b63a8704191
155b2051bcba3
hex302f9a29643

3311313000003 has 48 divisors (see below), whose sum is σ = 4824145033344. Its totient is φ = 2188630160640.

The previous prime is 3311312999983. The next prime is 3311313000221. The reversal of 3311313000003 is 3000003131133.

3311313000003 is a `hidden beast` number, since 331 + 1 + 31 + 300 + 0 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 3311313000003 - 216 = 3311312934467 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3311313000003.

It is not an unprimeable number, because it can be changed into a prime (3311313000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1503091500 + ... + 1503093702.

It is an arithmetic number, because the mean of its divisors is an integer number (100503021528).

Almost surely, 23311313000003 is an apocalyptic number.

3311313000003 is a deficient number, since it is larger than the sum of its proper divisors (1512832033341).

3311313000003 is a wasteful number, since it uses less digits than its factorization.

3311313000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 3311313000003 its reverse (3000003131133), we get a palindrome (6311316131136).

The spelling of 3311313000003 in words is "three trillion, three hundred eleven billion, three hundred thirteen million, three", and thus it is an aban number.

Divisors: 1 3 9 163 489 881 1163 1467 2203 2643 3489 6609 7929 10467 19827 143603 189569 359089 430809 568707 1024603 1077267 1292427 1706121 1940843 2562089 3073809 3231801 5822529 7686267 9221427 17467587 23058801 167010289 316357409 417620507 501030867 949072227 1252861521 1503092601 2257200409 2847216681 3758584563 6771601227 20314803681 367923666667 1103771000001 3311313000003