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1314103300 = 225241320513
BaseRepresentation
bin100111001010011…
…1010000000000100
310101120201100211121
41032110322000010
510142402301200
6334221443324
744364456646
oct11624720004
93346640747
101314103300
11614860294
12308110544
1317c335423
14c6752896
157a578e1a
hex4e53a004

1314103300 has 36 divisors (see below), whose sum is σ = 2921164596. Its totient is φ = 512819200.

The previous prime is 1314103267. The next prime is 1314103331. The reversal of 1314103300 is 33014131.

It can be written as a sum of positive squares in 6 ways, for example, as 374190336 + 939912964 = 19344^2 + 30658^2 .

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, 156157 + ... + 164356.

It is an arithmetic number, because the mean of its divisors is an integer number (81143461).

Almost surely, 21314103300 is an apocalyptic number.

1314103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314103300 is an abundant number, since it is smaller than the sum of its proper divisors (1607061296).

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

1314103300 is a wasteful number, since it uses less digits than its factorization.

1314103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320568 (or 320561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1314103300 is about 36250.5627542525. The cubic root of 1314103300 is about 1095.3254247076.

Adding to 1314103300 its reverse (33014131), we get a palindrome (1347117431).

The spelling of 1314103300 in words is "one billion, three hundred fourteen million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 320513 641026 1282052 1602565 3205130 6410260 8012825 13141033 16025650 26282066 32051300 52564132 65705165 131410330 262820660 328525825 657051650 1314103300