Search a number
-
+
222232012101 = 331147671271871
BaseRepresentation
bin1100111011111000001…
…1110110010101000101
3210020121201201220202000
43032332003312111011
512120112343341401
6250031511135513
722025054635551
oct3167603662505
9706551656660
10222232012101
11862801a4a20
12370a1074599
1317c58256218
14aa829b8861
155baa132186
hex33be0f6545

222232012101 has 128 divisors (see below), whose sum is σ = 375411179520. Its totient is φ = 128761617600.

The previous prime is 222232012027. The next prime is 222232012103. The reversal of 222232012101 is 101210232222.

222232012101 is a `hidden beast` number, since 2 + 222 + 320 + 121 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-222232012101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222232012103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118776196 + ... + 118778066.

It is an arithmetic number, because the mean of its divisors is an integer number (2932899840).

Almost surely, 2222232012101 is an apocalyptic number.

It is an amenable number.

222232012101 is a deficient number, since it is larger than the sum of its proper divisors (153179167419).

222232012101 is a wasteful number, since it uses less digits than its factorization.

222232012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222232012101 its reverse (101210232222), we get a palindrome (323442244323).

The spelling of 222232012101 in words is "two hundred twenty-two billion, two hundred thirty-two million, twelve thousand, one hundred one".

Divisors: 1 3 9 11 27 33 47 67 99 127 141 201 297 381 423 517 603 737 1143 1269 1397 1551 1809 1871 2211 3149 3429 4191 4653 5613 5969 6633 8509 9447 12573 13959 16839 17907 19899 20581 25527 28341 34639 37719 50517 53721 61743 65659 76581 85023 87937 93599 103917 125357 161163 185229 196977 229743 237617 263811 280797 311751 376071 399923 555687 590931 712851 791433 842391 935253 967307 1128213 1199769 1378927 1772793 2138553 2374299 2527173 2613787 2901921 3384639 3599307 4136781 4399153 5891779 6415659 7841361 8705763 10797921 11167999 12410343 13197459 15920339 17675337 23524083 26117289 33503997 37231029 39592377 47761017 53026011 64809569 70572249 100511991 118777131 122847989 143283051 159078033 175123729 194428707 301535973 368543967 429849153 525371187 583286121 748255933 1105631901 1576113561 1749858363 2244767799 3316895703 4728340683 6734303397 8230815263 20202910191 24692445789 74077337367 222232012101