Search a number
-
+
123033233 = 1723213681
BaseRepresentation
bin1110101010101…
…01011010010001
322120111201212102
413111111122101
5222444030413
620113010145
73022523321
oct725253221
9276451772
10123033233
11634a3764
1235253955
131c64973b
14124a9281
15ac04458
hex7555691

123033233 has 12 divisors (see below), whose sum is σ = 136190628. Its totient is φ = 110753280.

The previous prime is 123033221. The next prime is 123033247. The reversal of 123033233 is 332330321.

It can be written as a sum of positive squares in 2 ways, for example, as 106646929 + 16386304 = 10327^2 + 4048^2 .

It is not a de Polignac number, because 123033233 - 24 = 123033217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123030233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2153 + ... + 15833.

It is an arithmetic number, because the mean of its divisors is an integer number (11349219).

Almost surely, 2123033233 is an apocalyptic number.

It is an amenable number.

123033233 is a deficient number, since it is larger than the sum of its proper divisors (13157395).

123033233 is a wasteful number, since it uses less digits than its factorization.

123033233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 123033233 is about 11092.0346645690. The cubic root of 123033233 is about 497.3637690003.

Adding to 123033233 its reverse (332330321), we get a palindrome (455363554).

The spelling of 123033233 in words is "one hundred twenty-three million, thirty-three thousand, two hundred thirty-three".

Divisors: 1 17 23 391 529 8993 13681 232577 314663 5349271 7237249 123033233