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11000303240 = 235614508321
BaseRepresentation
bin10100011111010101…
…10100111010001000
31001101122000022012112
422033222310322020
5140012034200430
65015314401452
7536412014633
oct121752647210
931348008175
1011000303240
114735425703
12216bb90288
131064002694
14764d4cc1a
15445aee195
hex28fab4e88

11000303240 has 32 divisors (see below), whose sum is σ = 25156436760. Its totient is φ = 4327987200.

The previous prime is 11000303231. The next prime is 11000303267. The reversal of 11000303240 is 4230300011.

11000303240 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 7966276516 + 3034026724 = 89254^2 + 55082^2 .

It is a super-3 number, since 3×110003032403 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2251721 + ... + 2256600.

Almost surely, 211000303240 is an apocalyptic number.

11000303240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000303240 is an abundant number, since it is smaller than the sum of its proper divisors (14156133520).

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

11000303240 is a wasteful number, since it uses less digits than its factorization.

11000303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508393 (or 4508389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11000303240 its reverse (4230300011), we get a palindrome (15230603251).

The spelling of 11000303240 in words is "eleven billion, three hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4508321 9016642 18033284 22541605 36066568 45083210 90166420 180332840 275007581 550015162 1100030324 1375037905 2200060648 2750075810 5500151620 11000303240