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201130000032 = 25313739218081
BaseRepresentation
bin1011101101010001001…
…0000011111010100000
3201020011002120122010110
42323110102003322200
511243403240000112
6232221533531320
720350121535513
oct2732422037240
9636132518113
10201130000032
1178331706a25
1232b92043b40
1315c74474b50
149a401ccd7a
15537278413c
hex2ed4483ea0

201130000032 has 96 divisors (see below), whose sum is σ = 569351039040. Its totient is φ = 61802127360.

The previous prime is 201130000021. The next prime is 201130000069. The reversal of 201130000032 is 230000031102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201129999972 and 201130000017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813232 + ... + 1031312.

It is an arithmetic number, because the mean of its divisors is an integer number (5930739990).

Almost surely, 2201130000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201130000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284675519520).

201130000032 is an abundant number, since it is smaller than the sum of its proper divisors (368221039008).

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

201130000032 is a wasteful number, since it uses less digits than its factorization.

201130000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218846 (or 218838 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201130000032 its reverse (230000031102), we get a palindrome (431130031134).

The spelling of 201130000032 in words is "two hundred one billion, one hundred thirty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 739 1248 1478 2217 2956 4434 5912 8868 9607 11824 17736 19214 23648 28821 35472 38428 57642 70944 76856 115284 153712 218081 230568 307424 436162 461136 654243 872324 922272 1308486 1744648 2616972 2835053 3489296 5233944 5670106 6978592 8505159 10467888 11340212 17010318 20935776 22680424 34020636 45360848 68041272 90721696 136082544 161161859 272165088 322323718 483485577 644647436 966971154 1289294872 1933942308 2095104167 2578589744 3867884616 4190208334 5157179488 6285312501 7735769232 8380416668 12570625002 15471538464 16760833336 25141250004 33521666672 50282500008 67043333344 100565000016 201130000032