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233314130401 = 1131857798373
BaseRepresentation
bin1101100101001010011…
…0110001100111100001
3211022020001200212002221
43121102212301213201
512310311404133101
6255103311311041
722566512246422
oct3312246614741
9738201625087
10233314130401
118aa47820480
123927451b481
13190031a3181
14b414743649
156107ee2aa1
hex36529b19e1

233314130401 has 16 divisors (see below), whose sum is σ = 263041878528. Its totient is φ = 205021929600.

The previous prime is 233314130393. The next prime is 233314130443. The reversal of 233314130401 is 104031413332.

233314130401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 233314130401 - 23 = 233314130393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233314130801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106950 + ... + 691423.

It is an arithmetic number, because the mean of its divisors is an integer number (16440117408).

Almost surely, 2233314130401 is an apocalyptic number.

It is an amenable number.

233314130401 is a deficient number, since it is larger than the sum of its proper divisors (29727748127).

233314130401 is a wasteful number, since it uses less digits than its factorization.

233314130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799272.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 233314130401 its reverse (104031413332), we get a palindrome (337345543733).

The spelling of 233314130401 in words is "two hundred thirty-three billion, three hundred fourteen million, one hundred thirty thousand, four hundred one".

Divisors: 1 11 31 341 857 9427 26567 292237 798373 8782103 24749563 272245193 684205661 7526262271 21210375491 233314130401