Search a number
-
+
233133121 = 1317262053
BaseRepresentation
bin11011110010101…
…01010001000001
3121020200101112001
431321111101001
5434140224441
635044504001
75530412254
oct1571252101
9536611461
10233133121
1110a663401
12660ab001
13393b83c0
1422d6909b
1515701731
hexde55441

233133121 has 12 divisors (see below), whose sum is σ = 266708092. Its totient is φ = 202537728.

The previous prime is 233133119. The next prime is 233133127. The reversal of 233133121 is 121331332.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 233020225 = 336^2 + 15265^2 .

It is not a de Polignac number, because 233133121 - 21 = 233133119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233133127) 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 11 ways as a sum of consecutive naturals, for example, 27270 + ... + 34783.

Almost surely, 2233133121 is an apocalyptic number.

It is an amenable number.

233133121 is a deficient number, since it is larger than the sum of its proper divisors (33574971).

233133121 is a wasteful number, since it uses less digits than its factorization.

233133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62100 (or 62083 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 233133121 is about 15268.6974231596. The cubic root of 233133121 is about 615.4621163758.

Adding to 233133121 its reverse (121331332), we get a palindrome (354464453).

The spelling of 233133121 in words is "two hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 13 17 221 289 3757 62053 806689 1054901 13713713 17933317 233133121