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5310311300 = 2252722347119
BaseRepresentation
bin1001111001000010…
…01110101110000100
3111201002021202122022
410330201032232010
541333414430200
62234534222312
7245410621100
oct47441165604
914632252568
105310311300
112285594528
1210424b4998
13668229b48
1438539a900
15211300885
hex13c84eb84

5310311300 has 108 divisors (see below), whose sum is σ = 13987854720. Its totient is φ = 1741481280.

The previous prime is 5310311261. The next prime is 5310311341. The reversal of 5310311300 is 31130135.

It is a super-2 number, since 2×53103113002 = 56398812205815380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89141 + ... + 136259.

Almost surely, 25310311300 is an apocalyptic number.

5310311300 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 5310311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993927360).

5310311300 is an abundant number, since it is smaller than the sum of its proper divisors (8677543420).

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

5310311300 is a wasteful number, since it uses less digits than its factorization.

5310311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47170 (or 47156 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 5310311300 is about 72871.8827806720. The cubic root of 5310311300 is about 1744.6433536858.

Adding to 5310311300 its reverse (31130135), we get a palindrome (5341441435).

The spelling of 5310311300 in words is "five billion, three hundred ten million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 196 230 245 322 350 460 490 575 644 700 805 980 1127 1150 1225 1610 2254 2300 2450 3220 4025 4508 4900 5635 8050 11270 16100 22540 28175 47119 56350 94238 112700 188476 235595 329833 471190 659666 942380 1083737 1177975 1319332 1649165 2167474 2308831 2355950 3298330 4334948 4617662 4711900 5418685 6596660 7586159 8245825 9235324 10837370 11544155 15172318 16491650 21674740 23088310 27093425 30344636 32983300 37930795 46176620 53103113 54186850 57720775 75861590 106206226 108373700 115441550 151723180 189653975 212412452 230883100 265515565 379307950 531031130 758615900 1062062260 1327577825 2655155650 5310311300