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5310097000 = 235313408469
BaseRepresentation
bin1001111001000000…
…11010011001101000
3111201001212212200021
410330200122121220
541333341101000
62234525450224
7245406036235
oct47440323150
914631785607
105310097000
11228545851a
121042410974
13668183440
1438534278c
152112ac11a
hex13c81a668

5310097000 has 64 divisors (see below), whose sum is σ = 13381477200. Its totient is φ = 1960646400.

The previous prime is 5310096971. The next prime is 5310097003. The reversal of 5310097000 is 7900135.

It can be written as a sum of positive squares in 8 ways, for example, as 195272676 + 5114824324 = 13974^2 + 71518^2 .

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 (5310097003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191235 + ... + 217234.

Almost surely, 25310097000 is an apocalyptic number.

5310097000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5310097000 is an abundant number, since it is smaller than the sum of its proper divisors (8071380200).

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

5310097000 is a wasteful number, since it uses less digits than its factorization.

5310097000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408503 (or 408489 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 5310097000 is about 72870.4123770409. The cubic root of 5310097000 is about 1744.6198847478.

Adding to 5310097000 its reverse (7900135), we get a palindrome (5317997135).

The spelling of 5310097000 in words is "five billion, three hundred ten million, ninety-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 408469 816938 1633876 2042345 3267752 4084690 5310097 8169380 10211725 10620194 16338760 20423450 21240388 26550485 40846900 42480776 51058625 53100970 81693800 102117250 106201940 132752425 204234500 212403880 265504850 408469000 531009700 663762125 1062019400 1327524250 2655048500 5310097000