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11002100001021 = 331318849351517
BaseRepresentation
bin1010000000011010000001…
…0000110010100011111101
31102221210100021011210011000
42200012200100302203331
52420224300100013041
635222143413520513
72213606202663303
oct240064020624375
942853307153130
1011002100001021
113561a67698848
121298345043139
1361a6555124cc
142a070c422273
151412cac21bb6
hexa01a04328fd

11002100001021 has 32 divisors (see below), whose sum is σ = 16425733104000. Its totient is φ = 7277899749120.

The previous prime is 11002100000993. The next prime is 11002100001031. The reversal of 11002100001021 is 12010000120011.

It is a happy number.

It is not a de Polignac number, because 11002100001021 - 25 = 11002100000989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11002100000994 and 11002100001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002100001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31123155 + ... + 31474671.

It is an arithmetic number, because the mean of its divisors is an integer number (513304159500).

Almost surely, 211002100001021 is an apocalyptic number.

It is an amenable number.

11002100001021 is a deficient number, since it is larger than the sum of its proper divisors (5423633102979).

11002100001021 is a wasteful number, since it uses less digits than its factorization.

11002100001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360506 (or 360500 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002100001021 its reverse (12010000120011), we get a palindrome (23012100121032).

The spelling of 11002100001021 in words is "eleven trillion, two billion, one hundred million, one thousand, twenty-one".

Divisors: 1 3 9 27 131 393 1179 3537 8849 26547 79641 238923 351517 1054551 1159219 3163653 3477657 9490959 10432971 31298913 46048727 138146181 414438543 1243315629 3110573933 9331721799 27995165397 83985496191 407485185223 1222455555669 3667366667007 11002100001021