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1003302013320 = 2332513720342701
BaseRepresentation
bin11101001100110010111…
…01011100100110001000
310112220200211202002012200
432212121131130212020
5112414230303411240
62044524404040200
7132325521255015
oct16463135344610
93486624662180
101003302013320
11357552915422
12142543993060
13737c3404389
14367babc870c
151b1715b5930
hexe99975c988

1003302013320 has 96 divisors (see below), whose sum is σ = 3284532664920. Its totient is φ = 265594291200.

The previous prime is 1003302013303. The next prime is 1003302013339. The reversal of 1003302013320 is 233102033001.

1003302013320 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 2 + 0 + 1 + 332 + 0 = 666.

1003302013320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1001828835396 + 1473177924 = 1000914^2 + 38382^2 .

It is a super-2 number, since 2×10033020133202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1003302013293 and 1003302013302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10122031 + ... + 10220670.

Almost surely, 21003302013320 is an apocalyptic number.

1003302013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003302013320 is an abundant number, since it is smaller than the sum of its proper divisors (2281230651600).

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

1003302013320 is a wasteful number, since it uses less digits than its factorization.

1003302013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20342855 (or 20342848 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1003302013320 its reverse (233102033001), we get a palindrome (1236404046321).

The spelling of 1003302013320 in words is "one trillion, three billion, three hundred two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 49320 20342701 40685402 61028103 81370804 101713505 122056206 162741608 183084309 203427010 244112412 305140515 366168618 406854020 488224824 610281030 732337236 813708040 915421545 1220562060 1464674472 1830843090 2441124120 2786950037 3661686180 5573900074 7323372360 8360850111 11147800148 13934750185 16721700222 22295600296 25082550333 27869500370 33443400444 41804250555 50165100666 55739000740 66886800888 83608501110 100330201332 111478001480 125412751665 167217002220 200660402664 250825503330 334434004440 501651006660 1003302013320