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10002102 = 2311223599
BaseRepresentation
bin100110001001…
…111010110110
3200211011022020
4212021322312
510030031402
6554214010
7151005435
oct46117266
920734266
1010002102
115711800
123424306
1320c2806
14148511c
15d288bc
hex989eb6

10002102 has 48 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2894320.

The previous prime is 10002077. The next prime is 10002121. The reversal of 10002102 is 20120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16399 + ... + 16997.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 210002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

10002102 is an abundant number, since it is smaller than the sum of its proper divisors (12980298).

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

10002102 is a wasteful number, since it uses less digits than its factorization.

10002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10002102 is about 3162.6099980870. The cubic root of 10002102 is about 215.4585633514.

Adding to 10002102 its reverse (20120001), we get a palindrome (30122103).

The spelling of 10002102 in words is "ten million, two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 599 726 759 1198 1518 1797 2783 3594 5566 6589 8349 13178 13777 16698 19767 27554 39534 41331 72479 82662 144958 151547 217437 303094 434874 454641 909282 1667017 3334034 5001051 10002102