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5181222013000 = 235311823572321
BaseRepresentation
bin100101101100101100011…
…1001011100100001001000
3200100022122021022020100121
41023121120321130201020
51134342120313404000
615004115345113024
71043221340312305
oct113313071344110
920308567266317
105181222013000
111718386830140
126b81a4928774
132b7782c39717
1413cab59a20ac
158eb97362b1a
hex4b658e5c848

5181222013000 has 128 divisors (see below), whose sum is σ = 13242340650240. Its totient is φ = 1881788160000.

The previous prime is 5181222012991. The next prime is 5181222013001. The reversal of 5181222013000 is 3102221815.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5181222013001) 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 31 ways as a sum of consecutive naturals, for example, 8766840 + ... + 9339160.

It is an arithmetic number, because the mean of its divisors is an integer number (103455786330).

Almost surely, 25181222013000 is an apocalyptic number.

5181222013000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181222013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621170325120).

5181222013000 is an abundant number, since it is smaller than the sum of its proper divisors (8061118637240).

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

5181222013000 is a wasteful number, since it uses less digits than its factorization.

5181222013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573176 (or 573162 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 5181222013000 its reverse (3102221815), we get a palindrome (5184324234815).

The spelling of 5181222013000 in words is "five trillion, one hundred eighty-one billion, two hundred twenty-two million, thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 823 1000 1100 1375 1646 2200 2750 3292 4115 5500 6584 8230 9053 11000 16460 18106 20575 32920 36212 41150 45265 72424 82300 90530 102875 164600 181060 205750 226325 362120 411500 452650 572321 823000 905300 1131625 1144642 1810600 2263250 2289284 2861605 4526500 4578568 5723210 6295531 9053000 11446420 12591062 14308025 22892840 25182124 28616050 31477655 50364248 57232100 62955310 71540125 114464200 125910620 143080250 157388275 251821240 286160500 314776550 471020183 572321000 629553100 786941375 942040366 1259106200 1573882750 1884080732 2355100915 3147765500 3768161464 4710201830 5181222013 6295531000 9420403660 10362444026 11775504575 18840807320 20724888052 23551009150 25906110065 41449776104 47102018300 51812220130 58877522875 94204036600 103624440260 117755045750 129530550325 207248880520 235510091500 259061100650 471020183000 518122201300 647652751625 1036244402600 1295305503250 2590611006500 5181222013000