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233133303133 = 232440705677
BaseRepresentation
bin1101100100011111010…
…0111110010101011101
3211021202110102212201201
43121013310332111131
512304424111200013
6255033331435501
722562155244263
oct3310764762535
9737673385651
10233133303133
118a964743255
1239223a55b91
1318ca489c8a3
14b3d8712433
1560e71c43dd
hex3647d3e55d

233133303133 has 6 divisors (see below), whose sum is σ = 243710239934. Its totient is φ = 222997072056.

The previous prime is 233133303127. The next prime is 233133303149. The reversal of 233133303133 is 331303331332.

It can be written as a sum of positive squares in only one way, i.e., 220019159844 + 13114143289 = 469062^2 + 114517^2 .

It is not a de Polignac number, because 233133303133 - 213 = 233133294941 is a prime.

It is a super-2 number, since 2×2331333031332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233133303163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 220352310 + ... + 220353367.

Almost surely, 2233133303133 is an apocalyptic number.

233133303133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233133303133 is a deficient number, since it is larger than the sum of its proper divisors (10576936801).

233133303133 is an equidigital number, since it uses as much as digits as its factorization.

233133303133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440705723 (or 440705700 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 233133303133 its reverse (331303331332), we get a palindrome (564436634465).

The spelling of 233133303133 in words is "two hundred thirty-three billion, one hundred thirty-three million, three hundred three thousand, one hundred thirty-three".

Divisors: 1 23 529 440705677 10136230571 233133303133