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31133313 = 325365269
BaseRepresentation
bin111011011000…
…0111010000001
32011120201212200
41312300322001
530432231223
63031143413
7525425451
oct166607201
964521780
1031133313
1116634a12
12a514b69
1365b0aa3
1441c5d61
152aeea43
hex1db0e81

31133313 has 12 divisors (see below), whose sum is σ = 45819540. Its totient is φ = 20363616.

The previous prime is 31133299. The next prime is 31133321. The reversal of 31133313 is 31333113.

It can be written as a sum of positive squares in 2 ways, for example, as 13593969 + 17539344 = 3687^2 + 4188^2 .

It is not a de Polignac number, because 31133313 - 213 = 31125121 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31133213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32158 + ... + 33111.

It is an arithmetic number, because the mean of its divisors is an integer number (3818295).

Almost surely, 231133313 is an apocalyptic number.

It is an amenable number.

31133313 is a deficient number, since it is larger than the sum of its proper divisors (14686227).

31133313 is a wasteful number, since it uses less digits than its factorization.

31133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65328 (or 65325 counting only the distinct ones).

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

The square root of 31133313 is about 5579.7233802403. The cubic root of 31133313 is about 314.5877297438.

Adding to 31133313 its reverse (31333113), we get a palindrome (62466426).

The spelling of 31133313 in words is "thirty-one million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 53 159 477 65269 195807 587421 3459257 10377771 31133313