Search a number
-
+
233123321133 = 362313903699
BaseRepresentation
bin1101100100011100111…
…0111001010100101101
3211021201202122202000000
43121013032321110231
512304414032234013
6255032333454513
722562004351243
oct3310716712455
9737652582000
10233123321133
118a95a04566a
1239220641439
1318ca27b6291
14b3d7274793
1560e63a1973
hex36473b952d

233123321133 has 28 divisors (see below), whose sum is σ = 364721858400. Its totient is φ = 148658339016.

The previous prime is 233123321113. The next prime is 233123321153. The reversal of 233123321133 is 331123321332.

233123321133 is a `hidden beast` number, since 2 + 3 + 312 + 332 + 1 + 13 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (233123321113) and next prime (233123321153).

It is a de Polignac number, because none of the positive numbers 2k-233123321133 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 = 233123321097 and 233123321106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233123321113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6935083 + ... + 6968616.

Almost surely, 2233123321133 is an apocalyptic number.

233123321133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233123321133 is a deficient number, since it is larger than the sum of its proper divisors (131598537267).

233123321133 is an equidigital number, since it uses as much as digits as its factorization.

233123321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903740 (or 13903725 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 233123321133 its reverse (331123321332), we get a palindrome (564246642465).

The spelling of 233123321133 in words is "two hundred thirty-three billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 23 27 69 81 207 243 621 729 1863 5589 16767 13903699 41711097 125133291 319785077 375399873 959355231 1126199619 2878065693 3378598857 8634197079 10135796571 25902591237 77707773711 233123321133