Search a number
-
+
231002233101 = 3417891884917
BaseRepresentation
bin1101011100100011001…
…1100101100100001101
3211002020221110022020000
43113020303211210031
512241043032424401
6254042043314513
722455310404153
oct3271063454415
9732227408200
10231002233101
1189a70813852
123892a21ba39
1318a252239c3
14b2756993d3
156020071186
hex35c8ce590d

231002233101 has 40 divisors (see below), whose sum is σ = 369481626360. Its totient is φ = 143313933312.

The previous prime is 231002233039. The next prime is 231002233103. The reversal of 231002233101 is 101332200132.

231002233101 is a `hidden beast` number, since 2 + 310 + 0 + 22 + 331 + 0 + 1 = 666.

231002233101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51417830025 + 179584403076 = 226755^2 + 423774^2 .

It is not a de Polignac number, because 231002233101 - 27 = 231002232973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231002233103) 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 39 ways as a sum of consecutive naturals, for example, 819906 + ... + 1065011.

It is an arithmetic number, because the mean of its divisors is an integer number (9237040659).

Almost surely, 2231002233101 is an apocalyptic number.

It is an amenable number.

231002233101 is a deficient number, since it is larger than the sum of its proper divisors (138479393259).

231002233101 is a wasteful number, since it uses less digits than its factorization.

231002233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885035 (or 1885026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231002233101 its reverse (101332200132), we get a palindrome (332334433233).

The spelling of 231002233101 in words is "two hundred thirty-one billion, two million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 17 27 51 81 89 153 267 459 801 1377 1513 2403 4539 7209 13617 40851 122553 1884917 5654751 16964253 32043589 50892759 96130767 152678277 167757613 288392301 503272839 865176903 1509818517 2595530709 2851879421 4529455551 8555638263 13588366653 25666914789 77000744367 231002233101