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305300005000 = 2354241253361
BaseRepresentation
bin1000111000101010100…
…11000110000010001000
31002012000212211011210121
410130111103012002020
520000223300130000
6352130342353024
731025422140064
oct4342523060210
91065025734717
10305300005000
11108527991521
124b20442b774
1322a35b8a643
1410ac2db8aa4
157e1cb25b1a
hex47154c6088

305300005000 has 80 divisors (see below), whose sum is σ = 718288870860. Its totient is φ = 121612800000.

The previous prime is 305300004941. The next prime is 305300005013. The reversal of 305300005000 is 500003503.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 26974120644 + 278325884356 = 164238^2 + 527566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078320 + ... + 1331680.

Almost surely, 2305300005000 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 305300005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359144435430).

305300005000 is an abundant number, since it is smaller than the sum of its proper divisors (412988865860).

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

305300005000 is a wasteful number, since it uses less digits than its factorization.

305300005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253628 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

Adding to 305300005000 its reverse (500003503), we get a palindrome (305800008503).

The spelling of 305300005000 in words is "three hundred five billion, three hundred million, five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 625 964 1000 1205 1250 1928 2410 2500 4820 5000 6025 9640 12050 24100 30125 48200 60250 120500 150625 241000 253361 301250 506722 602500 1013444 1205000 1266805 2026888 2533610 5067220 6334025 10134440 12668050 25336100 31670125 50672200 61060001 63340250 122120002 126680500 158350625 244240004 253361000 305300005 316701250 488480008 610600010 633402500 1221200020 1266805000 1526500025 2442400040 3053000050 6106000100 7632500125 12212000200 15265000250 30530000500 38162500625 61060001000 76325001250 152650002500 305300005000