Search a number
-
+
212311223133312 = 273552893810243
BaseRepresentation
bin110000010001100010001111…
…000010010110010010000000
31000211201202101011221102201010
4300101202033002112102000
5210312001341110231222
62031314232431240520
762501660013322032
oct6021421702262200
91024652334842633
10212311223133312
1161715758575636
121b98b407079140
139160b299cb644
143a5dcbd0d9c52
151982a7ead680c
hexc1188f096480

212311223133312 has 32 divisors (see below), whose sum is σ = 563951686448880. Its totient is φ = 70770407710976.

The previous prime is 212311223133281. The next prime is 212311223133329. The reversal of 212311223133312 is 213331322113212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×2123112231333124 (a number of 58 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212311223133312.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276446904738 + ... + 276446905505.

Almost surely, 2212311223133312 is an apocalyptic number.

It is an amenable number.

212311223133312 is an abundant number, since it is smaller than the sum of its proper divisors (351640463315568).

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

212311223133312 is an equidigital number, since it uses as much as digits as its factorization.

212311223133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552893810260 (or 552893810248 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 212311223133312 its reverse (213331322113212), we get a palindrome (425642545246524).

The spelling of 212311223133312 in words is "two hundred twelve trillion, three hundred eleven billion, two hundred twenty-three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 552893810243 1105787620486 1658681430729 2211575240972 3317362861458 4423150481944 6634725722916 8846300963888 13269451445832 17692601927776 26538902891664 35385203855552 53077805783328 70770407711104 106155611566656 212311223133312