Search a number
-
+
123268041 = 33133311061
BaseRepresentation
bin1110101100011…
…10101111001001
322120221122222000
413112032233021
5223024034131
620122021213
73024522021
oct726165711
9276848860
10123268041
1163644116
1235347809
131c6cc590
141252aa81
15ac4dce6
hex758ebc9

123268041 has 32 divisors (see below), whose sum is σ = 197447040. Its totient is φ = 75556800.

The previous prime is 123268027. The next prime is 123268043. The reversal of 123268041 is 140862321.

It is not a de Polignac number, because 123268041 - 27 = 123267913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123267996 and 123268014.

It is not an unprimeable number, because it can be changed into a prime (123268043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115651 + ... + 116711.

It is an arithmetic number, because the mean of its divisors is an integer number (6170220).

Almost surely, 2123268041 is an apocalyptic number.

It is an amenable number.

123268041 is a deficient number, since it is larger than the sum of its proper divisors (74178999).

123268041 is a wasteful number, since it uses less digits than its factorization.

123268041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123268041 is about 11102.6141516311. The cubic root of 123268041 is about 497.6799729323.

The spelling of 123268041 in words is "one hundred twenty-three million, two hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 13 27 39 117 331 351 993 1061 2979 3183 4303 8937 9549 12909 13793 28647 38727 41379 116181 124137 351191 372411 1053573 3160719 4565483 9482157 13696449 41089347 123268041