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1003321201320 = 233253897164533
BaseRepresentation
bin11101001100110101001…
…10101001001010101000
310112220202011211221012100
432212122212221022220
5112414300211420240
62044530331213400
7132326143332504
oct16463246511250
93486664757170
101003321201320
11357562730679
1214254a2a7260
13737c7392019
14367bd581304
151b173105e30
hexe99a9a92a8

1003321201320 has 96 divisors (see below), whose sum is σ = 3269176864200. Its totient is φ = 266864487936.

The previous prime is 1003321201319. The next prime is 1003321201327. The reversal of 1003321201320 is 231021233001.

1003321201320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 321 + 20 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 835370408196 + 167950793124 = 913986^2 + 409818^2 .

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 = 1003321201293 and 1003321201302.

It is not an unprimeable number, because it can be changed into a prime (1003321201327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3442227 + ... + 3722306.

Almost surely, 21003321201320 is an apocalyptic number.

1003321201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003321201320 is an abundant number, since it is smaller than the sum of its proper divisors (2265855662880).

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

1003321201320 is a wasteful number, since it uses less digits than its factorization.

1003321201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164939 (or 7164932 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003321201320 its reverse (231021233001), we get a palindrome (1234342434321).

The spelling of 1003321201320 in words is "one trillion, three billion, three hundred twenty-one million, two hundred one 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 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 11670 14004 15560 17505 23340 28008 35010 46680 70020 140040 7164533 14329066 21493599 28658132 35822665 42987198 57316264 64480797 71645330 85974396 107467995 128961594 143290660 171948792 214935990 257923188 286581320 322403985 429871980 515846376 644807970 859743960 1289615940 2579231880 2787003337 5574006674 8361010011 11148013348 13935016685 16722020022 22296026696 25083030033 27870033370 33444040044 41805050055 50166060066 55740066740 66888080088 83610100110 100332120132 111480133480 125415150165 167220200220 200664240264 250830300330 334440400440 501660600660 1003321201320