Search a number
-
+
123025265343 = 3342187108007
BaseRepresentation
bin111001010010011100…
…0001001001010111111
3102202112211202000101000
41302210320021022333
54003423431442333
6132303402221343
711613452333661
oct1624470111277
9382484660330
10123025265343
11481a1611812
121ba14ab4853
13b7a7ba67c6
145d51048531
15330088a713
hex1ca4e092bf

123025265343 has 16 divisors (see below), whose sum is σ = 182265660160. Its totient is φ = 82014140088.

The previous prime is 123025265303. The next prime is 123025265359. The reversal of 123025265343 is 343562520321.

123025265343 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 252 + 65 + 343 = 666.

It is not a de Polignac number, because 123025265343 - 228 = 122756829887 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123025265298 and 123025265307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123025265303) 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 15 ways as a sum of consecutive naturals, for example, 1085046 + ... + 1193052.

It is an arithmetic number, because the mean of its divisors is an integer number (11391603760).

Almost surely, 2123025265343 is an apocalyptic number.

123025265343 is a deficient number, since it is larger than the sum of its proper divisors (59240394817).

123025265343 is a wasteful number, since it uses less digits than its factorization.

123025265343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150203 (or 150197 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 123025265343 its reverse (343562520321), we get a palindrome (466587785664).

The spelling of 123025265343 in words is "one hundred twenty-three billion, twenty-five million, two hundred sixty-five thousand, three hundred forty-three".

Divisors: 1 3 9 27 42187 108007 126561 324021 379683 972063 1139049 2916189 4556491309 13669473927 41008421781 123025265343