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1301145320 = 235172965981
BaseRepresentation
bin100110110001101…
…1110011011101000
310100200100000211102
41031203132123220
510131043122240
6333040020532
744146360406
oct11543363350
93320300742
101301145320
1160850a812
12303901748
13179749397
14c4b3c476
1579369815
hex4d8de6e8

1301145320 has 64 divisors (see below), whose sum is σ = 3206725200. Its totient is φ = 472944640.

The previous prime is 1301145257. The next prime is 1301145343. The reversal of 1301145320 is 235411031.

It can be written as a sum of positive squares in 8 ways, for example, as 962364484 + 338780836 = 31022^2 + 18406^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1301145292 and 1301145301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13271 + ... + 52710.

Almost surely, 21301145320 is an apocalyptic number.

1301145320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301145320 is an abundant number, since it is smaller than the sum of its proper divisors (1905579880).

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

1301145320 is a wasteful number, since it uses less digits than its factorization.

1301145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66038 (or 66034 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1301145320 is about 36071.3919886660. The cubic root of 1301145320 is about 1091.7133002889.

Adding to 1301145320 its reverse (235411031), we get a palindrome (1536556351).

The spelling of 1301145320 in words is "one billion, three hundred one million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 65981 131962 263924 329905 527848 659810 1121677 1319620 1913449 2243354 2639240 3826898 4486708 5608385 7653796 8973416 9567245 11216770 15307592 19134490 22433540 32528633 38268980 44867080 65057266 76537960 130114532 162643165 260229064 325286330 650572660 1301145320