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120313203131 = 111719213713009
BaseRepresentation
bin111000000001100111…
…0011100100110111011
3102111112211111222102102
41300003032130212323
53432400140000011
6131134321254015
711456321232032
oct1600316344673
9374484458372
10120313203131
114702a737290
121b39879430b
13b465058974
145b74b95719
1531e272173b
hex1c0339c9bb

120313203131 has 48 divisors (see below), whose sum is σ = 147752592480. Its totient is φ = 96804495360.

The previous prime is 120313203103. The next prime is 120313203149. The reversal of 120313203131 is 131302313021.

It is a de Polignac number, because none of the positive numbers 2k-120313203131 is a prime.

It is a super-2 number, since 2×1203132031312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120313203151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9241955 + ... + 9254963.

It is an arithmetic number, because the mean of its divisors is an integer number (3078179010).

Almost surely, 2120313203131 is an apocalyptic number.

120313203131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120313203131 is a deficient number, since it is larger than the sum of its proper divisors (27439389349).

120313203131 is a wasteful number, since it uses less digits than its factorization.

120313203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120313203131 its reverse (131302313021), we get a palindrome (251615516152).

The spelling of 120313203131 in words is "one hundred twenty billion, three hundred thirteen million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 11 17 19 137 187 209 323 361 1507 2329 2603 3553 3971 6137 13009 25619 28633 44251 49457 67507 143099 221153 247171 486761 544027 840769 1782233 2432683 2718881 4201907 4696249 9248459 19604563 30297961 33862427 46220977 51658739 79836233 333277571 372486697 575661259 643386113 878198563 6332273849 7077247243 10937563921 120313203131