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5130301300 = 2252416173281
BaseRepresentation
bin1001100011100101…
…00010111101110100
3111020112120022100021
410301302202331310
541001324120200
62205024054524
7241063561435
oct46162427564
914215508307
105130301300
1121a2a15333
12bb2164444
13639b51557
143694dd48c
152005e441a
hex131ca2f74

5130301300 has 144 divisors (see below), whose sum is σ = 11791839024. Its totient is φ = 1935360000.

The previous prime is 5130301277. The next prime is 5130301313. The reversal of 5130301300 is 31030315.

It can be written as a sum of positive squares in 24 ways, for example, as 4960103184 + 170198116 = 70428^2 + 13046^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 18257160 + ... + 18257440.

It is an arithmetic number, because the mean of its divisors is an integer number (81887771).

Almost surely, 25130301300 is an apocalyptic number.

5130301300 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 5130301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895919512).

5130301300 is an abundant number, since it is smaller than the sum of its proper divisors (6661537724).

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

5130301300 is a wasteful number, since it uses less digits than its factorization.

5130301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 5130301300 is about 71626.1216317064. The cubic root of 5130301300 is about 1724.7028879871.

Adding to 5130301300 its reverse (31030315), we get a palindrome (5161331615).

The spelling of 5130301300 in words is "five billion, one hundred thirty million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 61 73 82 100 122 146 164 205 244 281 292 305 365 410 562 610 730 820 1025 1124 1220 1405 1460 1525 1825 2050 2501 2810 2993 3050 3650 4100 4453 5002 5620 5986 6100 7025 7300 8906 10004 11521 11972 12505 14050 14965 17141 17812 20513 22265 23042 25010 28100 29930 34282 41026 44530 46084 50020 57605 59860 62525 68564 74825 82052 85705 89060 102565 111325 115210 125050 149650 171410 182573 205130 222650 230420 250100 288025 299300 342820 365146 410260 428525 445300 512825 576050 702781 730292 841033 857050 912865 1025650 1152100 1251293 1405562 1682066 1714100 1825730 2051300 2502586 2811124 3364132 3513905 3651460 4205165 4564325 5005172 6256465 7027810 8410330 9128650 12512930 14055620 16820660 17569525 18257300 21025825 25025860 31282325 35139050 42051650 51303013 62564650 70278100 84103300 102606026 125129300 205212052 256515065 513030130 1026060260 1282575325 2565150650 5130301300