Search a number
-
+
213112032213231 = 3289812332753597
BaseRepresentation
bin110000011101001100000010…
…111110100011100011101111
31000221120022101221111200200200
4300131030002332203203233
5210413111420221310411
62033130152133124543
762613556553225454
oct6035140276434357
91027508357450620
10213112032213231
11619a433a402018
121ba9a658489753
1391bb4bc489a18
143a8a96aab182b
1519987ede45e56
hexc1d302fa38ef

213112032213231 has 24 divisors (see below), whose sum is σ = 311325569277840. Its totient is φ = 140461045143936.

The previous prime is 213112032213221. The next prime is 213112032213239. The reversal of 213112032213231 is 132312230211312.

213112032213231 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 203 + 221 + 3 + 231 = 666.

It is not a de Polignac number, because 213112032213231 - 210 = 213112032212207 is a prime.

It is a super-2 number, since 2×2131120322132312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213112032213195 and 213112032213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112032213239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9870276 + ... + 22883321.

It is an arithmetic number, because the mean of its divisors is an integer number (12971898719910).

Almost surely, 2213112032213231 is an apocalyptic number.

213112032213231 is a deficient number, since it is larger than the sum of its proper divisors (98213537064609).

213112032213231 is a wasteful number, since it uses less digits than its factorization.

213112032213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32761815 (or 32761812 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213112032213231 its reverse (132312230211312), we get a palindrome (345424262424543).

The spelling of 213112032213231 in words is "two hundred thirteen trillion, one hundred twelve billion, thirty-two million, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 89 267 801 8123 24369 73107 722947 2168841 6506523 32753597 98260791 294782373 2915070133 8745210399 26235631197 266057468431 798172405293 2394517215879 23679114690359 71037344071077 213112032213231