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11142002565 = 325298537933
BaseRepresentation
bin10100110000001110…
…10111011110000101
31001202111122101010200
422120013113132011
5140304323040230
65041335441113
7543052313331
oct123007273605
931674571120
1011142002565
1147a8408491
1221ab526199
131087486335
14779ab67c1
1545328e160
hex2981d7785

11142002565 has 24 divisors (see below), whose sum is σ = 19978765560. Its totient is φ = 5737490304.

The previous prime is 11142002537. The next prime is 11142002579. The reversal of 11142002565 is 56520024111.

11142002565 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 3944196 + 11138058369 = 1986^2 + 105537^2 .

It is not a de Polignac number, because 11142002565 - 211 = 11142000517 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4267662 + ... + 4270271.

It is an arithmetic number, because the mean of its divisors is an integer number (832448565).

Almost surely, 211142002565 is an apocalyptic number.

11142002565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11142002565 is a deficient number, since it is larger than the sum of its proper divisors (8836762995).

11142002565 is a wasteful number, since it uses less digits than its factorization.

11142002565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8537973 (or 8537970 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11142002565 its reverse (56520024111), we get a palindrome (67662026676).

It can be divided in two parts, 1114200 and 2565, that added together give a triangular number (1116765 = T1494).

The spelling of 11142002565 in words is "eleven billion, one hundred forty-two million, two thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 8537933 25613799 42689665 76841397 128068995 247600057 384206985 742800171 1238000285 2228400513 3714000855 11142002565