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1050021050520 = 2335134631453759
BaseRepresentation
bin11110100011110100010…
…00011011100010011000
310201101021202212001222210
433101322020123202120
5114200420342104040
62122212323115120
7135601333444401
oct17217210334230
93641252761883
101050021050520
11375347566572
1214b601b12aa0
137802a4c8ba0
1438b6d8969a8
151c4a7db8480
hexf47a21b898

1050021050520 has 128 divisors (see below), whose sum is σ = 3399704985600. Its totient is φ = 257908299264.

The previous prime is 1050021050483. The next prime is 1050021050569. The reversal of 1050021050520 is 250501200501.

It is a super-2 number, since 2×10500210505202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4600 + ... + 1449159.

It is an arithmetic number, because the mean of its divisors is an integer number (26560195200).

Almost surely, 21050021050520 is an apocalyptic number.

1050021050520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050021050520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699852492800).

1050021050520 is an abundant number, since it is smaller than the sum of its proper divisors (2349683935080).

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

1050021050520 is a wasteful number, since it uses less digits than its factorization.

1050021050520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454249 (or 1454245 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The spelling of 1050021050520 in words is "one trillion, fifty billion, twenty-one million, fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 463 520 780 926 1389 1560 1852 2315 2778 3704 4630 5556 6019 6945 9260 11112 12038 13890 18057 18520 24076 27780 30095 36114 48152 55560 60190 72228 90285 120380 144456 180570 240760 361140 722280 1453759 2907518 4361277 5815036 7268795 8722554 11630072 14537590 17445108 18898867 21806385 29075180 34890216 37797734 43612770 56696601 58150360 75595468 87225540 94494335 113393202 151190936 174451080 188988670 226786404 283483005 377977340 453572808 566966010 673090417 755954680 1133932020 1346180834 2019271251 2267864040 2692361668 3365452085 4038542502 5384723336 6730904170 8077085004 8750175421 10096356255 13461808340 16154170008 17500350842 20192712510 26250526263 26923616680 35000701684 40385425020 43750877105 52501052526 70001403368 80770850040 87501754210 105002105052 131252631315 175003508420 210004210104 262505262630 350007016840 525010525260 1050021050520