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103112231013 = 33111950935899
BaseRepresentation
bin110000000000111110…
…1111100100001100101
3100212011001212001121000
41200001331330201211
53142133212343023
6115211420543513
710310134334211
oct1400175744145
9325131761530
10103112231013
113a803191350
1217b980b1b99
13995352a95c
144dc251d941
152a3759c243
hex1801f7c865

103112231013 has 64 divisors (see below), whose sum is σ = 175766400000. Its totient is φ = 59085236160.

The previous prime is 103112231009. The next prime is 103112231059. The reversal of 103112231013 is 310132211301.

103112231013 is a `hidden beast` number, since 10 + 311 + 22 + 310 + 13 = 666.

It is not a de Polignac number, because 103112231013 - 22 = 103112231009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112231213) 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 63 ways as a sum of consecutive naturals, for example, 2854338 + ... + 2890236.

It is an arithmetic number, because the mean of its divisors is an integer number (2746350000).

Almost surely, 2103112231013 is an apocalyptic number.

It is an amenable number.

103112231013 is a deficient number, since it is larger than the sum of its proper divisors (72654168987).

103112231013 is a wasteful number, since it uses less digits than its factorization.

103112231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36447 (or 36441 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103112231013 its reverse (310132211301), we get a palindrome (413244442314).

The spelling of 103112231013 in words is "one hundred three billion, one hundred twelve million, two hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 509 513 627 1527 1881 4581 5599 5643 9671 13743 16797 29013 35899 50391 87039 106381 107697 151173 261117 319143 323091 394889 682081 957429 969273 1184667 2046243 2872287 3554001 6138729 7502891 10662003 18272591 18416187 22508673 54817773 67526019 164453319 200998501 202578057 347179229 493359957 602995503 1041537687 1808986509 3124613061 3818971519 5426959527 9373839183 11456914557 34370743671 103112231013