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1002303304020 = 2232545712184577
BaseRepresentation
bin11101001010111011110…
…11101011000101010100
310112211010020111101121100
432211131323223011110
5112410204121212040
62044241330150100
7132262003341054
oct16453573530524
93484106441540
101002303304020
113570900a3337
12142305422330
1373694529825
14367242d5564
151b113a8bb30
hexe95deeb154

1002303304020 has 72 divisors (see below), whose sum is σ = 3046973051304. Its totient is φ = 266695999488.

The previous prime is 1002303304001. The next prime is 1002303304033. The reversal of 1002303304020 is 204033032001.

1002303304020 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 3 + 30 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42553913796 + 959749390224 = 206286^2 + 979668^2 .

It is a super-2 number, since 2×10023033040202 (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 = 1002303303984 and 1002303304002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6010029 + ... + 6174548.

It is an arithmetic number, because the mean of its divisors is an integer number (42319070157).

Almost surely, 21002303304020 is an apocalyptic number.

1002303304020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002303304020 is an abundant number, since it is smaller than the sum of its proper divisors (2044669747284).

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

1002303304020 is a wasteful number, since it uses less digits than its factorization.

1002303304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185049 (or 12185044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1002303304020 its reverse (204033032001), we get a palindrome (1206336336021).

The spelling of 1002303304020 in words is "one trillion, two billion, three hundred three million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 4113 4570 5484 6855 8226 9140 13710 16452 20565 27420 41130 82260 12184577 24369154 36553731 48738308 60922885 73107462 109661193 121845770 146214924 182768655 219322386 243691540 365537310 438644772 548305965 731074620 1096611930 2193223860 5568351689 11136703378 16705055067 22273406756 27841758445 33410110134 50115165201 55683516890 66820220268 83525275335 100230330402 111367033780 167050550670 200460660804 250575826005 334101101340 501151652010 1002303304020