Search a number
-
+
12332313101024 = 257253212174281
BaseRepresentation
bin1011001101110101011100…
…1001000100001011100000
31121122221212002210201222222
42303131113021010023200
53104023034123213044
642121215245050212
72411660133531440
oct263352711041340
947587762721888
1012332313101024
113a25117274174
121472102856968
136b5c16b948c7
14308c5c448120
15165bd23168ee
hexb37572442e0

12332313101024 has 48 divisors (see below), whose sum is σ = 27748813077216. Its totient is φ = 5285065881600.

The previous prime is 12332313100981. The next prime is 12332313101027. The reversal of 12332313101024 is 42010131323321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12332313100984 and 12332313101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332313101027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4584764 + ... + 6759044.

It is an arithmetic number, because the mean of its divisors is an integer number (578100272442).

Almost surely, 212332313101024 is an apocalyptic number.

12332313101024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12332313101024 is an abundant number, since it is smaller than the sum of its proper divisors (15416499976192).

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

12332313101024 is a wasteful number, since it uses less digits than its factorization.

12332313101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199619 (or 2199611 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12332313101024 its reverse (42010131323321), we get a palindrome (54342444424345).

The spelling of 12332313101024 in words is "twelve trillion, three hundred thirty-two billion, three hundred thirteen million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 25321 50642 101284 177247 202568 354494 405136 708988 810272 1417976 2174281 2835952 4348562 5671904 8697124 15219967 17394248 30439934 34788496 60879868 69576992 121759736 243519472 487038944 55054969201 110109938402 220219876804 385384784407 440439753608 770769568814 880879507216 1541539137628 1761759014432 3083078275256 6166156550512 12332313101024