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120313033113 = 37132070721283
BaseRepresentation
bin111000000001100110…
…1110011000110011001
3102111112211012100012110
41300003031303012121
53432400114024423
6131134313502533
711456316623250
oct1600315630631
9374484170173
10120313033113
114702a630579
121b398711a49
13b464cc9470
145b74b4d797
1531e26db193
hex1c03373199

120313033113 has 32 divisors (see below), whose sum is σ = 197455584256. Its totient is φ = 63455773248.

The previous prime is 120313033111. The next prime is 120313033121. The reversal of 120313033113 is 311330313021.

It is not a de Polignac number, because 120313033113 - 21 = 120313033111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 120313033113.

It is not an unprimeable number, because it can be changed into a prime (120313033111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5642370 + ... + 5663652.

It is an arithmetic number, because the mean of its divisors is an integer number (6170487008).

Almost surely, 2120313033113 is an apocalyptic number.

120313033113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120313033113 is a deficient number, since it is larger than the sum of its proper divisors (77142551143).

120313033113 is a wasteful number, since it uses less digits than its factorization.

120313033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42013.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 120313033113 its reverse (311330313021), we get a palindrome (431643346134).

The spelling of 120313033113 in words is "one hundred twenty billion, three hundred thirteen million, thirty-three thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 20707 21283 62121 63849 144949 148981 269191 276679 434847 446943 807573 830037 1884337 1936753 5653011 5810259 440707081 1322121243 3084949567 5729192053 9254848701 17187576159 40104344371 120313033113