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5301321000 = 2335313912713
BaseRepresentation
bin1001110111111101…
…11011110100101000
3111200110101000021020
410323332323310220
541324114233000
62234013412440
7245241325233
oct47376736450
914613330236
105301321000
112280503a28
12103b49a120
136663cca41
143840da41a
15210626ba0
hex13bfbbd28

5301321000 has 128 divisors (see below), whose sum is σ = 16660425600. Its totient is φ = 1403404800.

The previous prime is 5301320993. The next prime is 5301321007. The reversal of 5301321000 is 1231035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5301320993) and next prime (5301321007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (5301321007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410644 + ... + 423356.

It is an arithmetic number, because the mean of its divisors is an integer number (130159575).

Almost surely, 25301321000 is an apocalyptic number.

5301321000 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 5301321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330212800).

5301321000 is an abundant number, since it is smaller than the sum of its proper divisors (11359104600).

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

5301321000 is a wasteful number, since it uses less digits than its factorization.

5301321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5301321000 is about 72810.1709927947. The cubic root of 5301321000 is about 1743.6582433958.

Adding to 5301321000 its reverse (1231035), we get a palindrome (5302552035).

The spelling of 5301321000 in words is "five billion, three hundred one million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 139 150 200 250 278 300 375 417 500 556 600 695 750 834 1000 1112 1390 1500 1668 2085 2780 3000 3336 3475 4170 5560 6950 8340 10425 12713 13900 16680 17375 20850 25426 27800 34750 38139 41700 50852 52125 63565 69500 76278 83400 101704 104250 127130 139000 152556 190695 208500 254260 305112 317825 381390 417000 508520 635650 762780 953475 1271300 1525560 1589125 1767107 1906950 2542600 3178250 3534214 3813900 4767375 5301321 6356500 7068428 7627800 8835535 9534750 10602642 12713000 14136856 17671070 19069500 21205284 26506605 35342140 38139000 42410568 44177675 53013210 70684280 88355350 106026420 132533025 176710700 212052840 220888375 265066050 353421400 441776750 530132100 662665125 883553500 1060264200 1325330250 1767107000 2650660500 5301321000