Search a number
-
+
11000011210011 = 342311352251869
BaseRepresentation
bin1010000000010010001111…
…0000101011110100011011
31102221120221200202012120000
42200010203300223310123
52420211010332210021
635221200235504043
72213503350362505
oct240044360536433
942846850665500
1011000011210011
11356109561618a
121297a615b8023
1361a3b184a5b5
142a0590c52d75
15141207670b26
hexa0123c2bd1b

11000011210011 has 40 divisors (see below), whose sum is σ = 17298295074720. Its totient is φ = 6952424548608.

The previous prime is 11000011209977. The next prime is 11000011210081. The reversal of 11000011210011 is 11001211000011.

It is not a de Polignac number, because 11000011210011 - 210 = 11000011208987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000011209975 and 11000011210002.

It is not an unprimeable number, because it can be changed into a prime (11000011210081) 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 39 ways as a sum of consecutive naturals, for example, 25915416 + ... + 26336453.

It is an arithmetic number, because the mean of its divisors is an integer number (432457376868).

Almost surely, 211000011210011 is an apocalyptic number.

11000011210011 is a deficient number, since it is larger than the sum of its proper divisors (6298283864709).

11000011210011 is a wasteful number, since it uses less digits than its factorization.

11000011210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52252017 (or 52252008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000011210011 its reverse (11001211000011), we get a palindrome (22001222210022).

The spelling of 11000011210011 in words is "eleven trillion, eleven million, two hundred ten thousand, eleven".

Divisors: 1 3 9 23 27 69 81 113 207 339 621 1017 1863 2599 3051 7797 9153 23391 70173 210519 52251869 156755607 470266821 1201792987 1410800463 3605378961 4232401389 5904461197 10816136883 17713383591 32448410649 53140150773 97345231947 135802607531 159420452319 407407822593 478261356957 1222223467779 3666670403337 11000011210011