Search a number
-
+
212310011113321 = 11247369911111637
BaseRepresentation
bin110000010001100001000110…
…110010110110111101101001
31000211201122020201022102211211
4300101201012302312331221
5210311441400321111241
62031313512253353121
762501614665322042
oct6021410662667551
91024648221272754
10212310011113321
11617151963aa020
121b98b1291987a1
139160995889054
143a5dc0615b8c9
151982a0d4c4781
hexc11846cb6f69

212310011113321 has 16 divisors (see below), whose sum is σ = 231709966892928. Its totient is φ = 192926566627200.

The previous prime is 212310011113309. The next prime is 212310011113373. The reversal of 212310011113321 is 123311110013212.

It is a cyclic number.

It is not a de Polignac number, because 212310011113321 - 211 = 212310011111273 is a prime.

It is a super-3 number, since 3×2123100111133213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212310011113292 and 212310011113301.

It is not an unprimeable number, because it can be changed into a prime (212310011113301) 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, 1901733115 + ... + 1901844751.

It is an arithmetic number, because the mean of its divisors is an integer number (14481872930808).

Almost surely, 2212310011113321 is an apocalyptic number.

It is an amenable number.

212310011113321 is a deficient number, since it is larger than the sum of its proper divisors (19399955779607).

212310011113321 is a wasteful number, since it uses less digits than its factorization.

212310011113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184032.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 212310011113321 its reverse (123311110013212), we get a palindrome (335621121126533).

It can be divided in two parts, 21231001 and 1113321, that added together give a palindrome (22344322).

The spelling of 212310011113321 in words is "two hundred twelve trillion, three hundred ten billion, eleven million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 11 2473 27203 69911 111637 769021 1228007 172889903 276078301 1901788933 3036861311 7804654307 85851197377 19300910101211 212310011113321