Search a number
-
+
123233121 = 32112634733
BaseRepresentation
bin1110101100001…
…10001101100001
322120212220001200
413112012031201
5223021424441
620121151413
73024315144
oct726061541
9276786050
10123233121
116361a960
123532b569
131c6b970b
141251c05b
15ac437b6
hex7586361

123233121 has 24 divisors (see below), whose sum is σ = 194965056. Its totient is φ = 74387040.

The previous prime is 123233113. The next prime is 123233129. The reversal of 123233121 is 121332321.

It is an interprime number because it is at equal distance from previous prime (123233113) and next prime (123233129).

It is not a de Polignac number, because 123233121 - 23 = 123233113 is a prime.

It is a super-2 number, since 2×1232331212 = 30372804222801282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123233094 and 123233103.

It is not an unprimeable number, because it can be changed into a prime (123233129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23671 + ... + 28403.

It is an arithmetic number, because the mean of its divisors is an integer number (8123544).

Almost surely, 2123233121 is an apocalyptic number.

123233121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123233121 is a deficient number, since it is larger than the sum of its proper divisors (71731935).

123233121 is a wasteful number, since it uses less digits than its factorization.

123233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5010 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123233121 is about 11101.0414376310. The cubic root of 123233121 is about 497.6329733860.

Adding to 123233121 its reverse (121332321), we get a palindrome (244565442).

The spelling of 123233121 in words is "one hundred twenty-three million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 263 789 2367 2893 4733 8679 14199 26037 42597 52063 156189 468567 1244779 3734337 11203011 13692569 41077707 123233121