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10020011221101 = 3723179115895893
BaseRepresentation
bin1001000111001111011100…
…1101011010000001101101
31022110220101210212121112110
42101303313031122001231
52303131440333033401
633151043554554233
72052631135044630
oct221636715320155
938426353777473
1010020011221101
113213510127682
121159b41598979
13578b62c6175b
14268d84ad5c17
1512599bb789d6
hex91cf735a06d

10020011221101 has 32 divisors (see below), whose sum is σ = 16021448386560. Its totient is φ = 5446179756864.

The previous prime is 10020011221079. The next prime is 10020011221189. The reversal of 10020011221101 is 10112211002001.

It is not a de Polignac number, because 10020011221101 - 29 = 10020011220589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020011221001) 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, 57861490 + ... + 58034403.

It is an arithmetic number, because the mean of its divisors is an integer number (500670262080).

Almost surely, 210020011221101 is an apocalyptic number.

It is an amenable number.

10020011221101 is a deficient number, since it is larger than the sum of its proper divisors (6001437165459).

10020011221101 is a wasteful number, since it uses less digits than its factorization.

10020011221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115896105.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10020011221101 its reverse (10112211002001), we get a palindrome (20132222223102).

The spelling of 10020011221101 in words is "ten trillion, twenty billion, eleven million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 7 21 23 69 161 179 483 537 1253 3759 4117 12351 28819 86457 115895893 347687679 811271251 2433813753 2665605539 7996816617 18659238773 20745364847 55977716319 62236094541 145217553929 435652661787 477143391481 1431430174443 3340003740367 10020011221101