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11010010001001 = 3111965521268003
BaseRepresentation
bin1010000000110111011110…
…1111000010111001101001
31102222112202112020102020020
42200031313233002321221
52420342000030013001
635225532340351053
72214306211610604
oct240156757027151
942875675212206
1011010010001001
113565356684910
1212999920a5489
1361b31620367b
142a0c5cb7d33b
151415e0390736
hexa0377bc2e69

11010010001001 has 32 divisors (see below), whose sum is σ = 16857751764480. Its totient is φ = 6321416774400.

The previous prime is 11010010000993. The next prime is 11010010001083. The reversal of 11010010001001 is 10010001001011.

It is not a de Polignac number, because 11010010001001 - 23 = 11010010000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11010010001401) 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, 40947666 + ... + 41215668.

It is an arithmetic number, because the mean of its divisors is an integer number (526804742640).

Almost surely, 211010010001001 is an apocalyptic number.

11010010001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010010001001 is a deficient number, since it is larger than the sum of its proper divisors (5847741763479).

11010010001001 is a wasteful number, since it uses less digits than its factorization.

11010010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333557.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11010010001001 its reverse (10010001001011), we get a palindrome (21020011002012).

It can be divided in two parts, 110100 and 10001001, that added together give a palindrome (10111101).

The spelling of 11010010001001 in words is "eleven trillion, ten billion, ten million, one thousand, one".

Divisors: 1 3 11 19 33 57 209 627 65521 196563 268003 720731 804009 1244899 2162193 2948033 3734697 5092057 8844099 13693889 15276171 41081667 56012627 168037881 17559824563 52679473689 193158070193 333636666697 579474210579 1000910000091 3670003333667 11010010001001