Search a number
-
+
233303240097 = 3233776921609
BaseRepresentation
bin1101100101000111110…
…1001110110110100001
3211022012022012120102100
43121101331032312201
512310301112140342
6255102242041013
722566320551314
oct3312175166641
9738168176370
10233303240097
118aa41662424
1239270949169
1319000b5c2c5
14b41310a97b
156107090e4c
hex3651f4eda1

233303240097 has 12 divisors (see below), whose sum is σ = 337993554340. Its totient is φ = 155073961728.

The previous prime is 233303240087. The next prime is 233303240111. The reversal of 233303240097 is 790042303332.

It is a happy number.

233303240097 is a `hidden beast` number, since 23 + 3 + 303 + 240 + 0 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21041243136 + 212261996961 = 145056^2 + 460719^2 .

It is not a de Polignac number, because 233303240097 - 26 = 233303240033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233303240087) 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, 38457772 + ... + 38463837.

Almost surely, 2233303240097 is an apocalyptic number.

It is an amenable number.

233303240097 is a deficient number, since it is larger than the sum of its proper divisors (104690314243).

233303240097 is a wasteful number, since it uses less digits than its factorization.

233303240097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76921952 (or 76921949 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 233303240097 in words is "two hundred thirty-three billion, three hundred three million, two hundred forty thousand, ninety-seven".

Divisors: 1 3 9 337 1011 3033 76921609 230764827 692294481 25922582233 77767746699 233303240097