Search a number
-
+
212332220123342 = 211531013833470389
BaseRepresentation
bin110000010001110101110010…
…100011100000100011001110
31000211210202120111111001011112
4300101311302203200203032
5210312322341322421332
62031332024133452022
762503332232642304
oct6021656243404316
91024722514431145
10212332220123342
1161723652851a60
121b9934a6aa1012
139162ac4acb3b7
143a60d11988274
1519833ad13bdb2
hexc11d728e08ce

212332220123342 has 64 divisors (see below), whose sum is σ = 357607502354880. Its totient is φ = 93731394432000.

The previous prime is 212332220123341. The next prime is 212332220123389. The reversal of 212332220123342 is 243321022233212.

It is a happy number.

It is a super-2 number, since 2×2123322201233422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212332220123299 and 212332220123308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212332220123341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451161884 + ... + 451632272.

It is an arithmetic number, because the mean of its divisors is an integer number (5587617224295).

Almost surely, 2212332220123342 is an apocalyptic number.

212332220123342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212332220123342 is a deficient number, since it is larger than the sum of its proper divisors (145275282231538).

212332220123342 is a wasteful number, since it uses less digits than its factorization.

212332220123342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474389.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 212332220123342 its reverse (243321022233212), we get a palindrome (455653242356554).

The spelling of 212332220123342 in words is "two hundred twelve trillion, three hundred thirty-two billion, two hundred twenty million, one hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 11 22 53 101 106 202 583 1111 1166 2222 3833 5353 7666 10706 42163 58883 84326 117766 203149 387133 406298 470389 774266 940778 2234639 4258463 4469278 5174279 8516926 10348558 20518049 24930617 41036098 47509289 49861234 95018578 225698539 274236787 451397078 522602179 548473574 1045204358 1803001037 2517992317 3606002074 5035984634 19833011407 27697915487 39666022814 55395830974 95559054961 182103104737 191118109922 364206209474 1051149604571 2003134152107 2102299209142 4006268304214 9651464551061 19302929102122 106166110061671 212332220123342