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11200020993 = 327247211497
BaseRepresentation
bin10100110111001001…
…01100001000000001
31001220112211000110100
422123210230020001
5140414201132433
65051211153013
7544355415300
oct123344541001
931815730410
1011200020993
1148281355a7
122206a45769
1310964bb375
1478369a437
154583eeb13
hex29b92c201

11200020993 has 54 divisors (see below), whose sum is σ = 19229680626. Its totient is φ = 6263296704.

The previous prime is 11200020977. The next prime is 11200021033. The reversal of 11200020993 is 39902000211.

It can be written as a sum of positive squares in only one way, i.e., 9937497969 + 1262523024 = 99687^2 + 35532^2 .

It is not a de Polignac number, because 11200020993 - 24 = 11200020977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11200021993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 968421 + ... + 979917.

Almost surely, 211200020993 is an apocalyptic number.

It is an amenable number.

11200020993 is a deficient number, since it is larger than the sum of its proper divisors (8029659633).

11200020993 is a wasteful number, since it uses less digits than its factorization.

11200020993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11611 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11200020993 in words is "eleven billion, two hundred million, twenty thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 47 49 63 141 147 329 423 441 987 2209 2303 2961 6627 6909 11497 15463 19881 20727 34491 46389 80479 103473 108241 139167 241437 324723 540359 563353 724311 974169 1621077 1690059 3782513 4863231 5070177 11347539 25396873 26477591 34042617 76190619 79432773 177778111 228571857 238298319 533334333 1244446777 1600002999 3733340331 11200020993