Search a number
-
+
11033031331 = 717225721221
BaseRepresentation
bin10100100011001111…
…01011001010100011
31001110220121001201001
422101213223022203
5140043424000311
65022444052431
7540260135050
oct122147531243
931426531631
1011033031331
114751949813
12217ab34117
13106aa2130a
1476942c027
154489164c1
hex2919eb2a3

11033031331 has 24 divisors (see below), whose sum is σ = 13447277856. Its totient is φ = 8865546240.

The previous prime is 11033031313. The next prime is 11033031343. The reversal of 11033031331 is 13313033011.

It is a happy number.

11033031331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11033031331 is a nontrivial binomial coefficient, being equal to C(148547, 2).

It is not a de Polignac number, because 11033031331 - 29 = 11033030819 is a prime.

It is a super-2 number, since 2×110330313312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11033031299 and 11033031308.

It is not an unprimeable number, because it can be changed into a prime (11033031311) 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 in 23 ways as a sum of consecutive naturals, for example, 509301 + ... + 530521.

It is an arithmetic number, because the mean of its divisors is an integer number (560303244).

Almost surely, 211033031331 is an apocalyptic number.

11033031331 is the 148546-th triangular number.

11033031331 is the 49516-th centered nonagonal number.

11033031331 is a deficient number, since it is larger than the sum of its proper divisors (2414246525).

11033031331 is a wasteful number, since it uses less digits than its factorization.

11033031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21519 (or 21502 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 11033031331 its reverse (13313033011), we get a palindrome (24346064342).

The spelling of 11033031331 in words is "eleven billion, thirty-three million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 17 119 257 289 1799 2023 4369 21221 30583 74273 148547 360757 519911 2525299 5453797 6132869 38176579 42930083 92714549 649001843 1576147333 11033031331