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3131130033 = 33717732113
BaseRepresentation
bin1011101010100001…
…0100000010110001
322002012202212221000
42322220110002301
522403032130113
61234410552213
7140410110663
oct27250240261
98065685830
103131130033
111367494379
12734738669
133ab907485
14219bbc533
15134d47373
hexbaa140b1

3131130033 has 32 divisors (see below), whose sum is σ = 4712359680. Its totient is φ = 2054384640.

The previous prime is 3131129933. The next prime is 3131130043. The reversal of 3131130033 is 3300311313.

It is not a de Polignac number, because 3131130033 - 212 = 3131125937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131129988 and 3131130015.

It is not an unprimeable number, because it can be changed into a prime (3131130043) 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 31 ways as a sum of consecutive naturals, for example, 1480785 + ... + 1482897.

It is an arithmetic number, because the mean of its divisors is an integer number (147261240).

Almost surely, 23131130033 is an apocalyptic number.

It is an amenable number.

3131130033 is a deficient number, since it is larger than the sum of its proper divisors (1581229647).

3131130033 is a wasteful number, since it uses less digits than its factorization.

3131130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2960 counting only the distinct ones).

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

The square root of 3131130033 is about 55956.5012576734. The cubic root of 3131130033 is about 1462.9642087225.

Adding to 3131130033 its reverse (3300311313), we get a palindrome (6431441346).

The spelling of 3131130033 in words is "three billion, one hundred thirty-one million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 9 27 71 213 639 773 1917 2113 2319 6339 6957 19017 20871 54883 57051 150023 164649 450069 493947 1350207 1481841 1633349 4050621 4900047 14700141 44100423 115967779 347903337 1043710011 3131130033