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11256451149099 = 31319223205333181
BaseRepresentation
bin1010001111001101100011…
…0001011010110100101011
31110212002212102201212022210
42203303120301122310223
52433411202443232344
635535050421420203
72241152232035052
oct243633061326453
943762772655283
1011256451149099
11364a91a244a42
1213196aa86a663
1363862bb8b720
142acb5aa73399
15147c15a24db9
hexa3cd8c5ad2b

11256451149099 has 64 divisors (see below), whose sum is σ = 17098934128640. Its totient is φ = 6529658365440.

The previous prime is 11256451149079. The next prime is 11256451149101. The reversal of 11256451149099 is 99094115465211.

It is not a de Polignac number, because 11256451149099 - 215 = 11256451116331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (11256451149079) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 339227289 + ... + 339260469.

It is an arithmetic number, because the mean of its divisors is an integer number (267170845760).

Almost surely, 211256451149099 is an apocalyptic number.

11256451149099 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11256451149099 is a deficient number, since it is larger than the sum of its proper divisors (5842482979541).

11256451149099 is a wasteful number, since it uses less digits than its factorization.

11256451149099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35492.

The product of its (nonzero) digits is 3499200, while the sum is 57.

The spelling of 11256451149099 in words is "eleven trillion, two hundred fifty-six billion, four hundred fifty-one million, one hundred forty-nine thousand, ninety-nine".

Divisors: 1 3 13 19 39 57 223 247 669 741 2053 2899 4237 6159 8697 12711 26689 33181 39007 55081 80067 99543 117021 165243 431353 457819 507091 630439 1294059 1373457 1521273 1891317 5951647 7399363 8195707 8698561 17854941 22198089 24587121 26095683 68120593 96191719 113081293 140587897 204361779 288575157 339243879 421763691 885567709 1294291267 1827642661 2656703127 3882873801 5482927983 15190892239 16825786471 45572676717 50477359413 197481599107 288626952541 592444797321 865880857623 3752150383033 11256451149099