Search a number
-
+
102212023223233 = 72115310135425499
BaseRepresentation
bin10111001111011000010111…
…010101100000001111000001
3111101220101002122021002101101
4113033120113111200033001
5101344120210421120413
61001215315533134401
730346401135253300
oct2717302725401701
9441811078232341
10102212023223233
112a62796a4a1790
12b56945b92a401
134505724902551
141b351344c8437
15bc3b8152cedd
hex5cf6175603c1

102212023223233 has 48 divisors (see below), whose sum is σ = 133464579336000. Its totient is φ = 77369287632000.

The previous prime is 102212023223213. The next prime is 102212023223237. The reversal of 102212023223233 is 332322320212201.

It is not a de Polignac number, because 102212023223233 - 25 = 102212023223201 is a prime.

It is a super-2 number, since 2×1022120232232332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102212023223237) 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 47 ways as a sum of consecutive naturals, for example, 14827483 + ... + 20598016.

It is an arithmetic number, because the mean of its divisors is an integer number (2780512069500).

Almost surely, 2102212023223233 is an apocalyptic number.

It is an amenable number.

102212023223233 is a deficient number, since it is larger than the sum of its proper divisors (31252556112767).

102212023223233 is a wasteful number, since it uses less digits than its factorization.

102212023223233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35425678 (or 35425671 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 102212023223233 its reverse (332322320212201), we get a palindrome (434534343435434).

The spelling of 102212023223233 in words is "one hundred two trillion, two hundred twelve billion, twenty-three million, two hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 7 11 49 53 77 101 371 539 583 707 1111 2597 4081 4949 5353 7777 28567 37471 54439 58883 262297 412181 2885267 35425499 247978493 389680489 1735849451 1877551447 2727763423 3577975399 13142860129 19094343961 20653065917 25045827793 39357729389 92000020903 144571461419 175320794551 189632696147 275504105723 1012000229933 1327428873029 1928528740061 2085959657617 9292002111203 14601717603319 102212023223233