Search a number
-
+
1113733333 = 73109139969
BaseRepresentation
bin100001001100010…
…0011100011010101
32212121200111220201
41002120203203111
54240103431313
6302303100501
736412401646
oct10230434325
92777614821
101113733333
11521745379
12270ba1731
1314997b90b
14a7cb56cd
1567b9a0dd
hex426238d5

1113733333 has 8 divisors (see below), whose sum is σ = 1139355800. Its totient is φ = 1088391168.

The previous prime is 1113733321. The next prime is 1113733367. The reversal of 1113733333 is 3333373111.

It can be written as a sum of positive squares in 4 ways, for example, as 55011889 + 1058721444 = 7417^2 + 32538^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(1113733333) divides (1113733333-1)6.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1113733333 is a prime.

It is a Duffinian number.

1113733333 is a modest number, since divided by 33333 gives 11137 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113733133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62028 + ... + 77941.

It is an arithmetic number, because the mean of its divisors is an integer number (142419475).

Almost surely, 21113733333 is an apocalyptic number.

It is an amenable number.

1113733333 is a deficient number, since it is larger than the sum of its proper divisors (25622467).

1113733333 is a wasteful number, since it uses less digits than its factorization.

1113733333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140151.

The product of its digits is 5103, while the sum is 28.

The square root of 1113733333 is about 33372.6434823494. The cubic root of 1113733333 is about 1036.5583138351.

The spelling of 1113733333 in words is "one billion, one hundred thirteen million, seven hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 73 109 7957 139969 10217737 15256621 1113733333