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5321323100 = 22522943139307
BaseRepresentation
bin1001111010010110…
…01111001001011100
3111201212000012222202
410331023033021130
541344224314400
62240010231032
7245603333342
oct47513171134
914655005882
105321323100
112290825895
121046125478
1366a5b40c2
14386a25992
152122784d5
hex13d2cf25c

5321323100 has 144 divisors (see below), whose sum is σ = 12351292800. Its totient is φ = 1986405120.

The previous prime is 5321323099. The next prime is 5321323121. The reversal of 5321323100 is 13231235.

It is a super-2 number, since 2×53213231002 = 56632959069187220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 17333147 + ... + 17333453.

Almost surely, 25321323100 is an apocalyptic number.

5321323100 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 5321323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175646400).

5321323100 is an abundant number, since it is smaller than the sum of its proper divisors (7029969700).

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

5321323100 is a wasteful number, since it uses less digits than its factorization.

5321323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 5321323100 is about 72947.3995424100. The cubic root of 5321323100 is about 1745.8484556321.

Adding to 5321323100 its reverse (13231235), we get a palindrome (5334554335).

The spelling of 5321323100 in words is "five billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 139 145 172 215 278 290 307 430 556 580 614 695 725 860 1075 1228 1247 1390 1450 1535 2150 2494 2780 2900 3070 3475 4031 4300 4988 5977 6140 6235 6950 7675 8062 8903 11954 12470 13201 13900 15350 16124 17806 20155 23908 24940 26402 29885 30700 31175 35612 40310 42673 44515 52804 59770 62350 66005 80620 85346 89030 100775 119540 124700 132010 149425 170692 173333 178060 201550 213365 222575 264020 298850 330025 346666 382829 403100 426730 445150 597700 660050 693332 765658 853460 866665 890300 1066825 1237517 1320100 1531316 1733330 1834939 1914145 2133650 2475034 3466660 3669878 3828290 4267300 4333325 4950068 6187585 7339756 7656580 8666650 9174695 9570725 12375170 17333300 18349390 19141450 24750340 30937925 36698780 38282900 45873475 53213231 61875850 91746950 106426462 123751700 183493900 212852924 266066155 532132310 1064264620 1330330775 2660661550 5321323100