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11135205524445 = 3519418689109673
BaseRepresentation
bin1010001000001001110111…
…1110000100001111011101
31110102111220121200222000220
42202002131332010033131
52424414400103240240
635403235351111553
72226330526161642
oct242023576041735
943374817628026
1011135205524445
113603461251662
1212ba0b19725b9
1362a0788c7162
142a6d38121dc9
151449bb5205d0
hexa209df843dd

11135205524445 has 64 divisors (see below), whose sum is σ = 19213831929600. Its totient is φ = 5488302735360.

The previous prime is 11135205524437. The next prime is 11135205524447. The reversal of 11135205524445 is 54442550253111.

11135205524445 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 11135205524445 - 23 = 11135205524437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11135205524397 and 11135205524406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135205524447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101476129 + ... + 101585801.

It is an arithmetic number, because the mean of its divisors is an integer number (300216123900).

Almost surely, 211135205524445 is an apocalyptic number.

11135205524445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11135205524445 is a deficient number, since it is larger than the sum of its proper divisors (8078626405155).

11135205524445 is a wasteful number, since it uses less digits than its factorization.

11135205524445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118430.

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 11135205524445 its reverse (54442550253111), we get a palindrome (65577755777556).

The spelling of 11135205524445 in words is "eleven trillion, one hundred thirty-five billion, two hundred five million, five hundred twenty-four thousand, four hundred forty-five".

Divisors: 1 3 5 15 19 41 57 95 123 205 285 615 779 2337 3895 8689 11685 26067 43445 109673 130335 165091 329019 356249 495273 548365 825455 1068747 1645095 1781245 2083787 2476365 4496593 5343735 6251361 6768731 10418935 13489779 20306193 22482965 31256805 33843655 67448895 85435267 101530965 256305801 427176335 952948697 1281529005 2858846091 4764743485 14294230455 18106025243 39070896577 54318075729 90530126215 117212689731 195354482885 271590378645 586063448655 742347034963 2227041104889 3711735174815 11135205524445