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32130293130 = 232513191143779
BaseRepresentation
bin11101111011000111…
…010101110110001010
310001221012211000011200
4131323013111312022
51011300323340010
622432131405030
72215134661665
oct357307256612
9101835730150
1032130293130
1112698792871
126288453776
13305082b490
1417ab33c6dc
15c80b76cc0
hex77b1d5d8a

32130293130 has 96 divisors (see below), whose sum is σ = 90436469760. Its totient is φ = 7867532160.

The previous prime is 32130293123. The next prime is 32130293149. The reversal of 32130293130 is 3139203123.

32130293130 is a `hidden beast` number, since 321 + 3 + 0 + 29 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32130293094 and 32130293103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151581 + ... + 295359.

It is an arithmetic number, because the mean of its divisors is an integer number (942046560).

Almost surely, 232130293130 is an apocalyptic number.

32130293130 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 32130293130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45218234880).

32130293130 is an abundant number, since it is smaller than the sum of its proper divisors (58306176630).

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

32130293130 is a wasteful number, since it uses less digits than its factorization.

32130293130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143996 (or 143993 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 32130293130 its reverse (3139203123), we get a palindrome (35269496253).

The spelling of 32130293130 in words is "thirty-two billion, one hundred thirty million, two hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 191 195 234 382 390 573 585 955 1146 1170 1719 1910 2483 2865 3438 4966 5730 7449 8595 12415 14898 17190 22347 24830 37245 44694 74490 111735 143779 223470 287558 431337 718895 862674 1294011 1437790 1869127 2156685 2588022 3738254 4313370 5607381 6470055 9345635 11214762 12940110 16822143 18691270 27461789 28036905 33644286 54923578 56073810 82385367 84110715 137308945 164770734 168221430 247156101 274617890 357003257 411926835 494312202 714006514 823853670 1071009771 1235780505 1785016285 2142019542 2471561010 3213029313 3570032570 5355048855 6426058626 10710097710 16065146565 32130293130