Search a number
-
+
233301132301 = 101137193199439
BaseRepresentation
bin1101100101000111010…
…1001100010000001101
3211022012011020111001211
43121101311030100031
512310300042213201
6255102124534421
722566263622166
oct3312165142015
9738164214054
10233301132301
118aa40452846
12392700b1411
13190005a1aa3
14b412b1c76d
156106cc6651
hex3651d4c40d

233301132301 has 32 divisors (see below), whose sum is σ = 240305472000. Its totient is φ = 226453708800.

The previous prime is 233301132283. The next prime is 233301132307. The reversal of 233301132301 is 103231103332.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233301132301 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 (233301132307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531437440 + ... + 531437878.

It is an arithmetic number, because the mean of its divisors is an integer number (7509546000).

Almost surely, 2233301132301 is an apocalyptic number.

It is an amenable number.

233301132301 is a deficient number, since it is larger than the sum of its proper divisors (7004339699).

233301132301 is a wasteful number, since it uses less digits than its factorization.

233301132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233301132301 its reverse (103231103332), we get a palindrome (336532235633).

The spelling of 233301132301 in words is "two hundred thirty-three billion, three hundred one million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 101 137 193 199 439 13837 19493 20099 26441 27263 38407 44339 60143 84727 87361 2670541 2753563 3879107 5261759 6074443 8557427 8823461 11607599 11968457 16860673 531437659 1172367499 1208814157 1702927973 2309912201 233301132301