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10022333213312 = 27721383523109
BaseRepresentation
bin1001000111011000000110…
…0111000110101010000000
31022111010101122010001000222
42101312001213012222000
52303201214300311222
633152110223202212
72053042521463340
oct221660147065200
938433348101028
1010022333213312
1132144a18a9802
12115a48b146368
13579143036a44
1426912524ad20
15125a85941542
hex91d819c6a80

10022333213312 has 64 divisors (see below), whose sum is σ = 22819815849600. Its totient is φ = 4295076578304.

The previous prime is 10022333213311. The next prime is 10022333213323. The reversal of 10022333213312 is 21331233322001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10022333213311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18897614 + ... + 19420722.

It is an arithmetic number, because the mean of its divisors is an integer number (356559622650).

Almost surely, 210022333213312 is an apocalyptic number.

It is an amenable number.

10022333213312 is an abundant number, since it is smaller than the sum of its proper divisors (12797482636288).

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

10022333213312 is an equidigital number, since it uses as much as digits as its factorization.

10022333213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544513 (or 544501 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10022333213312 its reverse (21331233322001), we get a palindrome (31353566535313).

The spelling of 10022333213312 in words is "ten trillion, twenty-two billion, three hundred thirty-three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 21383 42766 85532 149681 171064 299362 342128 523109 598724 684256 1046218 1197448 1368512 2092436 2394896 2737024 3661763 4184872 4789792 7323526 8369744 9579584 14647052 16739488 19159168 29294104 33478976 58588208 66957952 117176416 234352832 468705664 11185639747 22371279494 44742558988 78299478229 89485117976 156598956458 178970235952 313197912916 357940471904 626395825832 715880943808 1252791651664 1431761887616 2505583303328 5011166606656 10022333213312