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11058820131801 = 3137337511103553
BaseRepresentation
bin1010000011101101010100…
…0010111010101111011001
31110011012202012002222011110
42200323111002322233121
52422141430423204201
635304203555050533
72220654605101131
oct240732502725731
943135665088143
1011058820131801
113584023730592
1212a73345a0a49
13622ac45b8180
142a336d459ac1
151429ea54b6d6
hexa0ed50babd9

11058820131801 has 32 divisors (see below), whose sum is σ = 16097441133312. Its totient is φ = 6711958978560.

The previous prime is 11058820131703. The next prime is 11058820131839. The reversal of 11058820131801 is 10813102885011.

It is not a de Polignac number, because 11058820131801 - 210 = 11058820130777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11058820131801.

It is not an unprimeable number, because it can be changed into a prime (11058820131841) 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 31 ways as a sum of consecutive naturals, for example, 106742041 + ... + 106845593.

It is an arithmetic number, because the mean of its divisors is an integer number (503045035416).

Almost surely, 211058820131801 is an apocalyptic number.

It is an amenable number.

11058820131801 is a deficient number, since it is larger than the sum of its proper divisors (5038621001511).

11058820131801 is a wasteful number, since it uses less digits than its factorization.

11058820131801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141153.

The product of its (nonzero) digits is 15360, while the sum is 39.

The spelling of 11058820131801 in words is "eleven trillion, fifty-eight billion, eight hundred twenty million, one hundred thirty-one thousand, eight hundred one".

Divisors: 1 3 13 39 73 219 949 2847 37511 103553 112533 310659 487643 1346189 1462929 2738303 4038567 7559369 8214909 22678107 35597939 98271797 106793817 294815391 3884376583 11653129749 50496895579 151490686737 283559490559 850678471677 3686273377267 11058820131801