Search a number
-
+
212323122033 = 31147969134129
BaseRepresentation
bin1100010110111101110…
…0011011101101110001
3202022001011102010221120
43011233130123231301
511434314204401113
6241312341212453
721224364521331
oct3055734335561
9668034363846
10212323122033
118205595a180
1235196701129
13170393b8c69
14a3c29b10c1
1557ca26ea23
hex316f71bb71

212323122033 has 16 divisors (see below), whose sum is σ = 308842372800. Its totient is φ = 128677038080.

The previous prime is 212323122023. The next prime is 212323122091. The reversal of 212323122033 is 330221323212.

It is a cyclic number.

It is not a de Polignac number, because 212323122033 - 213 = 212323113841 is a prime.

It is a super-2 number, since 2×2123231220332 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212323121994 and 212323122012.

It is not an unprimeable number, because it can be changed into a prime (212323122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515913 + ... + 1650041.

It is an arithmetic number, because the mean of its divisors is an integer number (19302648300).

Almost surely, 2212323122033 is an apocalyptic number.

It is an amenable number.

212323122033 is a deficient number, since it is larger than the sum of its proper divisors (96519250767).

212323122033 is a wasteful number, since it uses less digits than its factorization.

212323122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182112.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212323122033 its reverse (330221323212), we get a palindrome (542544445245).

The spelling of 212323122033 in words is "two hundred twelve billion, three hundred twenty-three million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 3 11 33 47969 134129 143907 402387 527659 1475419 1582977 4426257 6434034001 19302102003 70774374011 212323122033