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230123523 = 3785912757
BaseRepresentation
bin11011011011101…
…10100000000011
3121001000111010110
431231312200003
5432402423043
634500202403
75463006030
oct1555664003
9531014113
10230123523
11108998233
1265099403
13388a3586
14227c4387
1515309b33
hexdb76803

230123523 has 16 divisors (see below), whose sum is σ = 351100160. Its totient is φ = 131335776.

The previous prime is 230123513. The next prime is 230123549. The reversal of 230123523 is 325321032.

230123523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230123523 - 24 = 230123507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230123523.

It is not an unprimeable number, because it can be changed into a prime (230123503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11661 + ... + 24417.

It is an arithmetic number, because the mean of its divisors is an integer number (21943760).

Almost surely, 2230123523 is an apocalyptic number.

230123523 is a deficient number, since it is larger than the sum of its proper divisors (120976637).

230123523 is a wasteful number, since it uses less digits than its factorization.

230123523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13626.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 230123523 is about 15169.8227741790. The cubic root of 230123523 is about 612.8022314064.

Adding to 230123523 its reverse (325321032), we get a palindrome (555444555).

It can be divided in two parts, 230 and 123523, that added together give a triangular number (123753 = T497).

The spelling of 230123523 in words is "two hundred thirty million, one hundred twenty-three thousand, five hundred twenty-three".

Divisors: 1 3 7 21 859 2577 6013 12757 18039 38271 89299 267897 10958263 32874789 76707841 230123523