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12100002021 = 35291717043
BaseRepresentation
bin10110100010011011…
…10110000011100101
31011020021021210100000
423101031312003211
5144240100031041
65320401011513
7605564214552
oct132115660345
934207253300
1012100002021
11514a154678
122418323b99
1311aaaa9213
1482b00da29
154ac425bb6
hex2d13760e5

12100002021 has 24 divisors (see below), whose sum is σ = 18750120480. Its totient is φ = 7788502512.

The previous prime is 12100002011. The next prime is 12100002121. The reversal of 12100002021 is 12020000121.

12100002021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100002021 - 221 = 12097904869 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 = 12100001994 and 12100002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100002011) 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 23 ways as a sum of consecutive naturals, for example, 851475 + ... + 865568.

It is an arithmetic number, because the mean of its divisors is an integer number (781255020).

Almost surely, 212100002021 is an apocalyptic number.

It is an amenable number.

12100002021 is a deficient number, since it is larger than the sum of its proper divisors (6650118459).

12100002021 is an equidigital number, since it uses as much as digits as its factorization.

12100002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717087 (or 1717075 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100002021 its reverse (12020000121), we get a palindrome (24120002142).

The spelling of 12100002021 in words is "twelve billion, one hundred million, two thousand, twenty-one".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 1717043 5151129 15453387 46360161 49794247 139080483 149382741 417241449 448148223 1344444669 4033334007 12100002021