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1066105208300 = 225211969186553
BaseRepresentation
bin11111000001110001101…
…00100111110111101100
310202220210201000221120012
433200320310213313230
5114431340413131200
62133432330312352
7140011036515566
oct17407064476754
93686721027505
101066105208300
11381150662350
121527505886b8
13796c1839b02
1439857a94336
151cae9e84a35
hexf838d27dec

1066105208300 has 36 divisors (see below), whose sum is σ = 2523761786616. Its totient is φ = 387674620800.

The previous prime is 1066105208299. The next prime is 1066105208387. The reversal of 1066105208300 is 38025016601.

It is a happy number.

It is a super-2 number, since 2×10661052083002 (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 484592177 + ... + 484594376.

Almost surely, 21066105208300 is an apocalyptic number.

1066105208300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066105208300 is an abundant number, since it is smaller than the sum of its proper divisors (1457656578316).

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

1066105208300 is a wasteful number, since it uses less digits than its factorization.

1066105208300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969186578 (or 969186571 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 1066105208300 in words is "one trillion, sixty-six billion, one hundred five million, two hundred eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 969186553 1938373106 3876746212 4845932765 9691865530 10661052083 19383731060 21322104166 24229663825 42644208332 48459327650 53305260415 96918655300 106610520830 213221041660 266526302075 533052604150 1066105208300