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32003231130 = 232513241711317
BaseRepresentation
bin11101110011100010…
…101000110110011010
310001121100201120212200
4131303202220312122
51011020311344010
622411352151030
72212032655563
oct356342506632
9101540646780
1032003231130
1112632a98252
126251998476
133030401070
14179850516a
15c74928cc0
hex7738a8d9a

32003231130 has 96 divisors (see below), whose sum is σ = 89654043024. Its totient is φ = 7873763328.

The previous prime is 32003231123. The next prime is 32003231131. The reversal of 32003231130 is 3113230023.

32003231130 is a `hidden beast` number, since 320 + 0 + 3 + 2 + 311 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26383180041 + 5620051089 = 162429^2 + 74967^2 .

It is a super-3 number, since 3×320032311303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32003231131) 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 47 ways as a sum of consecutive naturals, for example, 2822232 + ... + 2833548.

Almost surely, 232003231130 is an apocalyptic number.

32003231130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32003231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44827021512).

32003231130 is an abundant number, since it is smaller than the sum of its proper divisors (57650811894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32003231130 is a wasteful number, since it uses less digits than its factorization.

32003231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32003231130 its reverse (3113230023), we get a palindrome (35116461153).

The spelling of 32003231130 in words is "thirty-two billion, three million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2417 4834 7251 11317 12085 14502 21753 22634 24170 31421 33951 36255 43506 56585 62842 67902 72510 94263 101853 108765 113170 147121 157105 169755 188526 203706 217530 282789 294242 314210 339510 441363 471315 509265 565578 735605 882726 942630 1018530 1324089 1413945 1471210 2206815 2648178 2827890 4413630 6620445 13240890 27353189 54706378 82059567 136765945 164119134 246178701 273531890 355591457 410297835 492357402 711182914 820595670 1066774371 1230893505 1777957285 2133548742 2461787010 3200323113 3555914570 5333871855 6400646226 10667743710 16001615565 32003231130