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11133333333 = 332317928073
BaseRepresentation
bin10100101111001100…
…10010111101010101
31001201220022221012000
422113212102331111
5140300113131313
65040425545513
7542615525523
oct122746227525
931656287160
1011133333333
1147a3527131
1221a8645299
13108573c405
1477889b313
1545262a673
hex297992f55

11133333333 has 16 divisors (see below), whose sum is σ = 17210951040. Its totient is φ = 7099516512.

The previous prime is 11133333331. The next prime is 11133333373. The reversal of 11133333333 is 33333333111.

It is not a de Polignac number, because 11133333333 - 21 = 11133333331 is a prime.

It is a super-2 number, since 2×111333333332 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

11133333333 is a modest number, since divided by 333333 gives 11133 as remainder.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11133333297 and 11133333306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133333331) 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 15 ways as a sum of consecutive naturals, for example, 8963416 + ... + 8964657.

It is an arithmetic number, because the mean of its divisors is an integer number (1075684440).

Almost surely, 211133333333 is an apocalyptic number.

It is an amenable number.

11133333333 is a deficient number, since it is larger than the sum of its proper divisors (6077617707).

11133333333 is a wasteful number, since it uses less digits than its factorization.

11133333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17928105 (or 17928099 counting only the distinct ones).

The product of its digits is 6561, while the sum is 27.

Adding to 11133333333 its reverse (33333333111), we get a palindrome (44466666444).

It can be divided in two parts, 111 and 33333333, that multiplied together give a palindrome (3699999963).

The spelling of 11133333333 in words is "eleven billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 23 27 69 207 621 17928073 53784219 161352657 412345679 484057971 1237037037 3711111111 11133333333