Search a number
-
+
12233210212132 = 2272137365768533
BaseRepresentation
bin1011001000000100010000…
…1001100010111100100100
31121022111001110020100211121
42302001010021202330210
53100412103303242012
642003505330143324
72401551232060300
oct262010411427444
947274043210747
1012233210212132
113997091277a08
121456a65421b44
136a97821a9950
1430413a5d0d00
15163331c37a07
hexb2044262f24

12233210212132 has 72 divisors (see below), whose sum is σ = 27186344288376. Its totient is φ = 4773216978432.

The previous prime is 12233210212061. The next prime is 12233210212133. The reversal of 12233210212132 is 23121201233221.

It can be written as a sum of positive squares in 4 ways, for example, as 128892488256 + 12104317723876 = 359016^2 + 3479126^2 .

It is a super-3 number, since 3×122332102121323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12233210212097 and 12233210212106.

It is not an unprimeable number, because it can be changed into a prime (12233210212133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32698263 + ... + 33070270.

Almost surely, 212233210212132 is an apocalyptic number.

It is an amenable number.

12233210212132 is an abundant number, since it is smaller than the sum of its proper divisors (14953134076244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233210212132 is a wasteful number, since it uses less digits than its factorization.

12233210212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65768637 (or 65768628 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12233210212132 its reverse (23121201233221), we get a palindrome (35354411445353).

The spelling of 12233210212132 in words is "twelve trillion, two hundred thirty-three billion, two hundred ten million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 73 91 98 146 182 196 292 364 511 637 949 1022 1274 1898 2044 2548 3577 3796 6643 7154 13286 14308 26572 46501 93002 186004 65768533 131537066 263074132 460379731 854990929 920759462 1709981858 1841518924 3222658117 3419963716 4801102909 5984936503 6445316234 9602205818 11969873006 12890632468 19204411636 23939746012 33607720363 41894555521 62414337817 67215440726 83789111042 124828675634 134430881452 167578222084 235254042541 249657351268 436900364719 470508085082 873800729438 941016170164 1747601458876 3058302553033 6116605106066 12233210212132