Search a number
-
+
123000123103 = 11313172711543
BaseRepresentation
bin111001010001101100…
…0001110111011011111
3102202111002102122200221
41302203120032323133
54003401012414403
6132301103302211
711613025536664
oct1624330167337
9382432378627
10123000123103
11481893aa000
121ba085aa967
13b7a2912940
145d4b981a6b
1532ed570dbd
hex1ca360eedf

123000123103 has 64 divisors (see below), whose sum is σ = 154937954304. Its totient is φ = 96724108800.

The previous prime is 123000123083. The next prime is 123000123107. The reversal of 123000123103 is 301321000321.

It is not a de Polignac number, because 123000123103 - 221 = 122998025951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000123107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79714150 + ... + 79715692.

It is an arithmetic number, because the mean of its divisors is an integer number (2420905536).

Almost surely, 2123000123103 is an apocalyptic number.

123000123103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123000123103 is a deficient number, since it is larger than the sum of its proper divisors (31937831201).

123000123103 is a wasteful number, since it uses less digits than its factorization.

123000123103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1855 counting only the distinct ones).

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

Adding to 123000123103 its reverse (301321000321), we get a palindrome (424321123424).

The spelling of 123000123103 in words is "one hundred twenty-three billion, one hundred twenty-three thousand, one hundred three".

Divisors: 1 11 13 17 121 143 187 221 271 1331 1543 1573 2057 2431 2981 3523 4607 16973 17303 20059 22627 26231 26741 32791 38753 50677 59891 186703 220649 288541 294151 341003 360701 418153 426283 557447 658801 2053733 2427139 3173951 3751033 4599683 4689113 5435989 6131917 7108601 7246811 26698529 34913461 41261363 50596513 59795879 78194611 79714921 92411813 453874993 556561643 657754669 860140721 1016529943 7235301359 9461547931 11181829373 123000123103