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11002110012 = 2233990110289
BaseRepresentation
bin10100011111100011…
…01110000000111100
31001101202102002122000
422033301232000330
5140013020010022
65015421222300
7536433251325
oct121761560074
931352362560
1011002110012
11473644a103
122170701990
1310644b5b8a
1476529d44c
15445d596ac
hex28fc6e03c

11002110012 has 48 divisors (see below), whose sum is σ = 28529642400. Its totient is φ = 3666643200.

The previous prime is 11002110011. The next prime is 11002110029. The reversal of 11002110012 is 21001120011.

It is a happy number.

11002110012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11002109976 and 11002110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002110011) 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 15 ways as a sum of consecutive naturals, for example, 1064164 + ... + 1074452.

It is an arithmetic number, because the mean of its divisors is an integer number (594367550).

Almost surely, 211002110012 is an apocalyptic number.

11002110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11002110012 is an abundant number, since it is smaller than the sum of its proper divisors (17527532388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11002110012 is a wasteful number, since it uses less digits than its factorization.

11002110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20203 (or 20195 counting only the distinct ones).

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

Adding to 11002110012 its reverse (21001120011), we get a palindrome (32003230023).

Subtracting 11002110012 from its reverse (21001120011), we obtain a palindrome (9999009999).

It can be divided in two parts, 1100 and 2110012, that added together give a palindrome (2111112).

The spelling of 11002110012 in words is "eleven billion, two million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 9901 10289 19802 20578 29703 30867 39604 41156 59406 61734 89109 92601 118812 123468 178218 185202 267327 277803 356436 370404 534654 555606 1069308 1111212 101871389 203742778 305614167 407485556 611228334 916842501 1222456668 1833685002 2750527503 3667370004 5501055006 11002110012