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11001300093 = 337732113779
BaseRepresentation
bin10100011111011101…
…01000010001111101
31001101200212221122000
422033232220101331
5140012313100333
65015352012513
7536423336130
oct121756502175
931350787560
1011001300093
114735a46653
122170391139
131064291334
1476512c217
15445c49713
hex28fba847d

11001300093 has 64 divisors (see below), whose sum is σ = 18976204800. Its totient is φ = 6169322880.

The previous prime is 11001300073. The next prime is 11001300097. The reversal of 11001300093 is 39000310011.

It is not a de Polignac number, because 11001300093 - 25 = 11001300061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001300097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2909278 + ... + 2913056.

It is an arithmetic number, because the mean of its divisors is an integer number (296503200).

Almost surely, 211001300093 is an apocalyptic number.

It is an amenable number.

11001300093 is a deficient number, since it is larger than the sum of its proper divisors (7974904707).

11001300093 is a wasteful number, since it uses less digits than its factorization.

11001300093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The spelling of 11001300093 in words is "eleven billion, one million, three hundred thousand, ninety-three".

Divisors: 1 3 7 9 21 27 63 73 189 211 219 511 633 657 1477 1533 1899 1971 3779 4431 4599 5697 11337 13293 13797 15403 26453 34011 39879 46209 79359 102033 107821 138627 238077 275867 323463 415881 714231 797369 827601 970389 1931069 2392107 2482803 2911167 5581583 5793207 7176321 7448409 16744749 17379621 21528963 50234247 52138863 58207937 150702741 174623811 407455559 523871433 1222366677 1571614299 3667100031 11001300093