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220200331131 = 321114747150827
BaseRepresentation
bin1100110100010011110…
…1100110011101111011
3210001101010202211101200
43031010331212131323
512101432241044011
6245054133145243
721623524634454
oct3150475463573
9701333684350
10220200331131
1185428389a40
123681478b223
13179c3368a31
14a92cc3412b
155adbab2856
hex3344f6677b

220200331131 has 24 divisors (see below), whose sum is σ = 347008169664. Its totient is φ = 133444811760.

The previous prime is 220200331129. The next prime is 220200331133. The reversal of 220200331131 is 131133002022.

220200331131 is a `hidden beast` number, since 2 + 2 + 0 + 200 + 331 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (220200331129) and next prime (220200331133).

It is not a de Polignac number, because 220200331131 - 21 = 220200331129 is a prime.

It is a super-2 number, since 2×2202003311312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220200331133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384540 + ... + 1535366.

It is an arithmetic number, because the mean of its divisors is an integer number (14458673736).

Almost surely, 2220200331131 is an apocalyptic number.

220200331131 is a deficient number, since it is larger than the sum of its proper divisors (126807838533).

220200331131 is a wasteful number, since it uses less digits than its factorization.

220200331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165591 (or 165588 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220200331131 its reverse (131133002022), we get a palindrome (351333333153).

The spelling of 220200331131 in words is "two hundred twenty billion, two hundred million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 14747 44241 132723 150827 162217 452481 486651 1357443 1459953 1659097 4977291 14931873 2224245769 6672737307 20018211921 24466703459 73400110377 220200331131