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1300120320 = 2835338573
BaseRepresentation
bin100110101111110…
…0100001100000000
310100121101221210110
41031133210030000
510130312322240
6333002031320
744134561152
oct11537441400
93317357713
101300120320
1160797a704
123034a8540
1317947a985
14c4952ad2
1579215c80
hex4d7e4300

1300120320 has 72 divisors (see below), whose sum is σ = 4152271536. Its totient is φ = 346697728.

The previous prime is 1300120313. The next prime is 1300120331. The reversal of 1300120320 is 230210031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300120296 and 1300120305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165447 + ... + 173126.

It is an arithmetic number, because the mean of its divisors is an integer number (57670438).

Almost surely, 21300120320 is an apocalyptic number.

1300120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300120320 is an abundant number, since it is smaller than the sum of its proper divisors (2852151216).

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

1300120320 is an equidigital number, since it uses as much as digits as its factorization.

1300120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338597 (or 338583 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300120320 is about 36057.1812542245. The cubic root of 1300120320 is about 1091.4265528920.

Adding to 1300120320 its reverse (230210031), we get a palindrome (1530330351).

The spelling of 1300120320 in words is "one billion, three hundred million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 338573 677146 1015719 1354292 1692865 2031438 2708584 3385730 4062876 5078595 5417168 6771460 8125752 10157190 10834336 13542920 16251504 20314380 21668672 27085840 32503008 40628760 43337344 54171680 65006016 81257520 86674688 108343360 130012032 162515040 216686720 260024064 325030080 433373440 650060160 1300120320