Search a number
-
+
1032221331312 = 24341212792749
BaseRepresentation
bin11110000010101010010…
…11111000111101110000
310122200100021112122120020
433001111023320331300
5113402442130100222
62110110153243440
7134401256356323
oct17012513707560
93580307478506
101032221331312
11368843039026
12148074a03580
1376451920662
1437d618c27ba
151bcb53c265c
hexf0552f8f70

1032221331312 has 60 divisors (see below), whose sum is σ = 2733196623000. Its totient is φ = 335681707520.

The previous prime is 1032221331287. The next prime is 1032221331347. The reversal of 1032221331312 is 2131331222301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6315687 + ... + 6477062.

It is an arithmetic number, because the mean of its divisors is an integer number (45553277050).

Almost surely, 21032221331312 is an apocalyptic number.

1032221331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1032221331312 is an abundant number, since it is smaller than the sum of its proper divisors (1700975291688).

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

1032221331312 is a wasteful number, since it uses less digits than its factorization.

1032221331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792842 (or 12792795 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1032221331312 its reverse (2131331222301), we get a palindrome (3163552553613).

It can be divided in two parts, 10322213 and 31312, that added together give a triangular number (10353525 = T4550).

The spelling of 1032221331312 in words is "one trillion, thirty-two billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1681 1968 3362 5043 6724 10086 13448 20172 26896 40344 80688 12792749 25585498 38378247 51170996 76756494 102341992 153512988 204683984 307025976 524502709 614051952 1049005418 1573508127 2098010836 3147016254 4196021672 6294032508 8392043344 12588065016 21504611069 25176130032 43009222138 64513833207 86018444276 129027666414 172036888552 258055332828 344073777104 516110665656 1032221331312