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103312331123 = 8310312319817
BaseRepresentation
bin110000000110111100…
…1010001000101110011
3100212200000101012100012
41200031321101011303
53143040424043443
6115243325445135
710315114216361
oct1401571210563
9325600335305
10103312331123
113a8a6132541
12180331107ab
139985b1b6a1
145000d2a631
152a49e26118
hex180de51173

103312331123 has 16 divisors (see below), whose sum is σ = 105668699136. Its totient is φ = 100984259520.

The previous prime is 103312331117. The next prime is 103312331173. The reversal of 103312331123 is 321133213301.

It is a cyclic number.

It is not a de Polignac number, because 103312331123 - 226 = 103245222259 is a prime.

It is a super-3 number, since 3×1033123311233 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103312331173) 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 15 ways as a sum of consecutive naturals, for example, 10518911 + ... + 10528727.

It is an arithmetic number, because the mean of its divisors is an integer number (6604293696).

Almost surely, 2103312331123 is an apocalyptic number.

103312331123 is a deficient number, since it is larger than the sum of its proper divisors (2356368013).

103312331123 is a wasteful number, since it uses less digits than its factorization.

103312331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103312331123 its reverse (321133213301), we get a palindrome (424445544424).

The spelling of 103312331123 in words is "one hundred three billion, three hundred twelve million, three hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 83 103 1231 8549 9817 102173 126793 814811 1011151 10523819 12084727 83925533 1003032341 1244726881 103312331123