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120013003123 = 13172375914633
BaseRepresentation
bin110111111000101010…
…1010001100101110011
3102110202220122020102121
41233301111101211303
53431241312044443
6131044435055111
711446014460246
oct1576125214563
9373686566377
10120013003123
1146996236602
121b314141497
13b417abab20
145b46d6d25d
1531c61c34ed
hex1bf1551973

120013003123 has 48 divisors (see below), whose sum is σ = 143405004960. Its totient is φ = 99720474624.

The previous prime is 120013003091. The next prime is 120013003171. The reversal of 120013003123 is 321300310021.

It is not a de Polignac number, because 120013003123 - 25 = 120013003091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120013003097 and 120013003106.

It is not an unprimeable number, because it can be changed into a prime (120013013123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8194215 + ... + 8208847.

It is an arithmetic number, because the mean of its divisors is an integer number (2987604270).

Almost surely, 2120013003123 is an apocalyptic number.

120013003123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120013003123 is a deficient number, since it is larger than the sum of its proper divisors (23392001837).

120013003123 is a wasteful number, since it uses less digits than its factorization.

120013003123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14776 (or 14759 counting only the distinct ones).

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

Adding to 120013003123 its reverse (321300310021), we get a palindrome (441313313144).

The spelling of 120013003123 in words is "one hundred twenty billion, thirteen million, three thousand, one hundred twenty-three".

Divisors: 1 13 17 37 59 221 289 481 629 767 1003 2183 3757 8177 10693 13039 14633 17051 28379 37111 139009 190229 221663 248761 482443 541421 630887 863347 3233893 4228937 7038473 8201531 9204157 11223511 14676899 31943839 54976181 119654041 156470669 190799687 249507283 415269907 543045263 2034118697 3243594679 7059588419 9231769471 120013003123