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33313113 = 3645697
BaseRepresentation
bin111111100010…
…1000101011001
32022200111000000
41333011011121
532012004423
63150003213
7553104531
oct177050531
968614000
1033313113
11178936a9
12b1a6509
136b95002
1445d24c1
152dd0843
hex1fc5159

33313113 has 14 divisors (see below), whose sum is σ = 49947914. Its totient is φ = 22208256.

The previous prime is 33313103. The next prime is 33313117. The reversal of 33313113 is 31131333.

It can be written as a sum of positive squares in only one way, i.e., 26594649 + 6718464 = 5157^2 + 2592^2 .

It is not a de Polignac number, because 33313113 - 28 = 33312857 is a prime.

It is a super-2 number, since 2×333131132 = 2219526995501538, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33313117) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22120 + ... + 23577.

Almost surely, 233313113 is an apocalyptic number.

It is an amenable number.

33313113 is a deficient number, since it is larger than the sum of its proper divisors (16634801).

33313113 is an frugal number, since it uses more digits than its factorization.

33313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45715 (or 45700 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 33313113 is about 5771.7512940181. The cubic root of 33313113 is about 321.7647066484.

Adding to 33313113 its reverse (31131333), we get a palindrome (64444446).

The spelling of 33313113 in words is "thirty-three million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 27 81 243 729 45697 137091 411273 1233819 3701457 11104371 33313113