Search a number
-
+
11163311333163 = 32111714994424939
BaseRepresentation
bin1010001001110010100100…
…1101001101111100101011
31110112012110100201222110100
42202130221031031330223
52430344430200130123
635424204320120443
72231344155463143
oct242345115157453
943465410658410
1011163311333163
113614374247750
121303636466123
1362c9077105c2
142a8442b75923
151455b3bd7643
hexa272934df2b

11163311333163 has 48 divisors (see below), whose sum is σ = 18637847280000. Its totient is φ = 6363414839040.

The previous prime is 11163311333147. The next prime is 11163311333179. The reversal of 11163311333163 is 36133311336111.

11163311333163 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 3 + 311 + 3 + 331 + 6 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (11163311333147) and next prime (11163311333179).

It is not a de Polignac number, because 11163311333163 - 24 = 11163311333147 is a prime.

It is a super-2 number, since 2×111633113331632 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11163311333183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310348 + ... + 4735286.

It is an arithmetic number, because the mean of its divisors is an integer number (388288485000).

Almost surely, 211163311333163 is an apocalyptic number.

11163311333163 is a deficient number, since it is larger than the sum of its proper divisors (7474535946837).

11163311333163 is a wasteful number, since it uses less digits than its factorization.

11163311333163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426472 (or 4426469 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

Adding to 11163311333163 its reverse (36133311336111), we get a palindrome (47296622669274).

The spelling of 11163311333163 in words is "eleven trillion, one hundred sixty-three billion, three hundred eleven million, three hundred thirty-three thousand, one hundred sixty-three".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1499 1683 4497 13491 16489 25483 49467 76449 148401 229347 280313 840939 2522817 4424939 13274817 39824451 48674329 75223963 146022987 225671889 438068961 677015667 827463593 2482390779 6632983561 7447172337 19898950683 59696852049 72962819171 112760720537 218888457513 338282161611 656665372539 1014846484833 1240367925907 3721103777721 11163311333163