Search a number
-
+
11000011000033 = 117971468385453
BaseRepresentation
bin1010000000010010001110…
…1111111000100011100001
31102221120221200100112112001
42200010203233320203201
52420211010304000113
635221200231204001
72213503345526356
oct240044357704341
942846850315461
1011000011000033
113561095492450
121297a61516601
1361a3b17a5b53
142a0590bda62d
1514120762d7dd
hexa0123bf88e1

11000011000033 has 16 divisors (see below), whose sum is σ = 12016027388736. Its totient is φ = 9986665861440.

The previous prime is 11000010999917. The next prime is 11000011000039. The reversal of 11000011000033 is 33000011000011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11000011000033 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11000010999983 and 11000011000019.

It is not an unprimeable number, because it can be changed into a prime (11000011000039) 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, 128683135 + ... + 128768587.

It is an arithmetic number, because the mean of its divisors is an integer number (751001711796).

Almost surely, 211000011000033 is an apocalyptic number.

It is an amenable number.

11000011000033 is a deficient number, since it is larger than the sum of its proper divisors (1016016388703).

11000011000033 is a wasteful number, since it uses less digits than its factorization.

11000011000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100944.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11000011000033 its reverse (33000011000011), we get a palindrome (44000022000044).

The spelling of 11000011000033 in words is "eleven trillion, eleven million, thirty-three", and thus it is an aban number and an uban number.

Divisors: 1 11 797 8767 14683 85453 161513 939983 11702351 68106041 128725861 749166451 1254706399 13801770389 1000001000003 11000011000033