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233303240133 = 32106124432217
BaseRepresentation
bin1101100101000111110…
…1001110110111000101
3211022012022012120110200
43121101331032313011
512310301112141013
6255102242041113
722566320551365
oct3312175166705
9738168176420
10233303240133
118aa41662457
1239270949199
1319000b5c322
14b41310a9a5
156107090e73
hex3651f4edc5

233303240133 has 12 divisors (see below), whose sum is σ = 337311201708. Its totient is φ = 155388893760.

The previous prime is 233303240111. The next prime is 233303240147. The reversal of 233303240133 is 331042303332.

It is a happy number.

233303240133 is a `hidden beast` number, since 2 + 3 + 330 + 324 + 0 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203597683524 + 29705556609 = 451218^2 + 172353^2 .

It is not a de Polignac number, because 233303240133 - 29 = 233303239621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233303240097 and 233303240106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233303240033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12206560 + ... + 12225657.

It is an arithmetic number, because the mean of its divisors is an integer number (28109266809).

Almost surely, 2233303240133 is an apocalyptic number.

It is an amenable number.

233303240133 is a deficient number, since it is larger than the sum of its proper divisors (104007961575).

233303240133 is a wasteful number, since it uses less digits than its factorization.

233303240133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24433284 (or 24433281 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233303240133 its reverse (331042303332), we get a palindrome (564345543465).

The spelling of 233303240133 in words is "two hundred thirty-three billion, three hundred three million, two hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 9 1061 3183 9549 24432217 73296651 219889953 25922582237 77767746711 233303240133