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1300321300 = 225292913997
BaseRepresentation
bin100110110000001…
…0101010000010100
310100121210011111011
41031200111100110
510130340240200
6333010222004
744136356125
oct11540252024
93317704434
101300321300
11607aa7703
12303584904
1317951b2b5
14c49a604c
15792555ba
hex4d815414

1300321300 has 36 divisors (see below), whose sum is σ = 2824936380. Its totient is φ = 519531520.

The previous prime is 1300321291. The next prime is 1300321331. The reversal of 1300321300 is 31230031.

It can be written as a sum of positive squares in 6 ways, for example, as 268369924 + 1031951376 = 16382^2 + 32124^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85902 + ... + 99898.

It is an arithmetic number, because the mean of its divisors is an integer number (78470455).

Almost surely, 21300321300 is an apocalyptic number.

1300321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300321300 is an abundant number, since it is smaller than the sum of its proper divisors (1524615080).

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

1300321300 is a wasteful number, since it uses less digits than its factorization.

1300321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14940 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1300321300 is about 36059.9681086936. The cubic root of 1300321300 is about 1091.4827896375.

Adding to 1300321300 its reverse (31230031), we get a palindrome (1331551331).

The spelling of 1300321300 in words is "one billion, three hundred million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 929 1858 3716 4645 9290 13997 18580 23225 27994 46450 55988 69985 92900 139970 279940 349925 699850 1399700 13003213 26006426 52012852 65016065 130032130 260064260 325080325 650160650 1300321300