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11142001245 = 353171349967
BaseRepresentation
bin10100110000001110…
…10111001001011101
31001202111122022022210
422120013113021131
5140304323014440
65041335431033
7543052306434
oct123007271135
931674568283
1011142001245
1147a84074a1
1221ab525479
13108748585b
14779ab611b
1545328da80
hex2981d725d

11142001245 has 64 divisors (see below), whose sum is σ = 18734284800. Its totient is φ = 5647622400.

The previous prime is 11142001237. The next prime is 11142001249. The reversal of 11142001245 is 54210024111.

11142001245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11142001245 - 23 = 11142001237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142001249) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11521752 + ... + 11522718.

It is an arithmetic number, because the mean of its divisors is an integer number (292723200).

Almost surely, 211142001245 is an apocalyptic number.

11142001245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11142001245 is a deficient number, since it is larger than the sum of its proper divisors (7592283555).

11142001245 is a wasteful number, since it uses less digits than its factorization.

11142001245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11142001245 its reverse (54210024111), we get a palindrome (65352025356).

The spelling of 11142001245 in words is "eleven billion, one hundred forty-two million, one thousand, two hundred forty-five".

Divisors: 1 3 5 15 31 71 93 155 213 349 355 465 967 1047 1065 1745 2201 2901 4835 5235 6603 10819 11005 14505 24779 29977 32457 33015 54095 68657 74337 89931 123895 149885 162285 205971 337483 343285 371685 449655 768149 1012449 1029855 1687415 2128367 2304447 3840745 5062245 6385101 10461973 10641835 11522235 23961293 31385919 31925505 52309865 71883879 119806465 156929595 359419395 742800083 2228400249 3714000415 11142001245