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3131330031 = 32794404121
BaseRepresentation
bin1011101010100100…
…0100110111101111
322002020011001021100
42322221010313233
522403110030111
61234415134143
7140411603034
oct27251046757
98066131240
103131330031
111367610665
12734814353
133ab97750b
14219c3138b
15134d86756
hexbaa44def

3131330031 has 12 divisors (see below), whose sum is σ = 4580286880. Its totient is φ = 2061128160.

The previous prime is 3131330029. The next prime is 3131330039. The reversal of 3131330031 is 1300331313.

It is not a de Polignac number, because 3131330031 - 21 = 3131330029 is a prime.

It is a super-2 number, since 2×31313300312 = 19610455526084921922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3131329986 and 3131330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131330039) 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 11 ways as a sum of consecutive naturals, for example, 2201350 + ... + 2202771.

Almost surely, 23131330031 is an apocalyptic number.

3131330031 is a deficient number, since it is larger than the sum of its proper divisors (1448956849).

3131330031 is a wasteful number, since it uses less digits than its factorization.

3131330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404206 (or 4404203 counting only the distinct ones).

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

The square root of 3131330031 is about 55958.2883137074. The cubic root of 3131330031 is about 1462.9953565492.

Adding to 3131330031 its reverse (1300331313), we get a palindrome (4431661344).

The spelling of 3131330031 in words is "three billion, one hundred thirty-one million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 9 79 237 711 4404121 13212363 39637089 347925559 1043776677 3131330031