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1021331340304 = 241123277910849
BaseRepresentation
bin11101101110011000001…
…01110111110000010000
310121122020100002210021221
432313030011313300100
5113213141310342204
62101105415054424
7133534354103362
oct16671405676020
93548210083257
101021331340304
11364164a08660
12145b35971414
13754077324b2
143760b48ad32
151b879313654
hexedcc177c10

1021331340304 has 80 divisors (see below), whose sum is σ = 2260715126400. Its totient is φ = 442453524480.

The previous prime is 1021331340287. The next prime is 1021331340313. The reversal of 1021331340304 is 4030431331201.

1021331340304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665872 + ... + 1576720.

It is an arithmetic number, because the mean of its divisors is an integer number (28258939080).

Almost surely, 21021331340304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021331340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130357563200).

1021331340304 is an abundant number, since it is smaller than the sum of its proper divisors (1239383786096).

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

1021331340304 is a wasteful number, since it uses less digits than its factorization.

1021331340304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911168 (or 911162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1021331340304 its reverse (4030431331201), we get a palindrome (5051762671505).

The spelling of 1021331340304 in words is "one trillion, twenty-one billion, three hundred thirty-one million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 277 368 506 554 1012 1108 2024 2216 3047 4048 4432 6094 6371 12188 12742 24376 25484 48752 50968 70081 101936 140162 280324 560648 910849 1121296 1821698 3643396 7286792 10019339 14573584 20038678 20949527 40077356 41899054 80154712 83798108 160309424 167596216 230444797 252305173 335192432 460889594 504610346 921779188 1009220692 1843558376 2018441384 2775356903 3687116752 4036882768 5550713806 5803018979 11101427612 11606037958 22202855224 23212075916 44405710448 46424151832 63833208769 92848303664 127666417538 255332835076 510665670152 1021331340304