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130323430431 = 3217877971251
BaseRepresentation
bin111100101011111100…
…0011011110000011111
3110110101110112012202200
41321113320123300133
54113400244233211
6135511511222543
712262351611135
oct1712770336037
9413343465680
10130323430431
11502a71a7207
1221311077a53
13c39bbb729c
14644441b755
1535cb44eb56
hex1e57e1bc1f

130323430431 has 24 divisors (see below), whose sum is σ = 199545665904. Its totient is φ = 81678240000.

The previous prime is 130323430417. The next prime is 130323430451. The reversal of 130323430431 is 134034323031.

130323430431 is a `hidden beast` number, since 1 + 3 + 0 + 323 + 4 + 304 + 31 = 666.

It is not a de Polignac number, because 130323430431 - 25 = 130323430399 is a prime.

It is a super-2 number, since 2×1303234304312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130323430395 and 130323430404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130323430451) 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, 351445 + ... + 619806.

It is an arithmetic number, because the mean of its divisors is an integer number (8314402746).

Almost surely, 2130323430431 is an apocalyptic number.

130323430431 is a deficient number, since it is larger than the sum of its proper divisors (69222235473).

130323430431 is a wasteful number, since it uses less digits than its factorization.

130323430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972151 (or 972148 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 130323430431 its reverse (134034323031), we get a palindrome (264357753462).

The spelling of 130323430431 in words is "one hundred thirty billion, three hundred twenty-three million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 877 2631 7893 14909 44727 134181 971251 2913753 8741259 16511267 49533801 148601403 851787127 2555361381 7666084143 14480381159 43441143477 130323430431