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1006663030290 = 232517657949693
BaseRepresentation
bin11101010011000011100…
…10101101011000010010
310120020101002002102201200
432221201302231120102
5112443121213432130
62050242110212030
7132505022401221
oct16514162553022
93506332072650
101006663030290
11358a180451a5
121431214b4016
1373c0a82b508
1436a19328cb8
151b2bb6bc760
hexea61cad612

1006663030290 has 48 divisors (see below), whose sum is σ = 2771284111128. Its totient is φ = 252652681728.

The previous prime is 1006663030283. The next prime is 1006663030301. The reversal of 1006663030290 is 920303666001.

It can be written as a sum of positive squares in 4 ways, for example, as 995562932841 + 11100097449 = 997779^2 + 105357^2 .

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 23 ways as a sum of consecutive naturals, for example, 328973317 + ... + 328976376.

Almost surely, 21006663030290 is an apocalyptic number.

1006663030290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006663030290 is an abundant number, since it is smaller than the sum of its proper divisors (1764621080838).

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

1006663030290 is a wasteful number, since it uses less digits than its factorization.

1006663030290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657949723 (or 657949720 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 1006663030290 its reverse (920303666001), we get a palindrome (1926966696291).

The spelling of 1006663030290 in words is "one trillion, six billion, six hundred sixty-three million, thirty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 657949693 1315899386 1973849079 3289748465 3947698158 5921547237 6579496930 9869245395 11185144781 11843094474 19738490790 22370289562 29607736185 33555434343 55925723905 59215472370 67110868686 100666303029 111851447810 167777171715 201332606058 335554343430 503331515145 1006663030290