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2002120102010 = 25741217014703
BaseRepresentation
bin11101001000100111101…
…010000101000001111010
321002101211012012012011202
4131020213222011001322
5230300320221231020
64131432234054202
7264435255034340
oct35104752050172
97071735165152
102002120102010
11702104669906
12284035b7a362
13116a5086cbc2
146cc9028d990
153712e1b5e75
hex1d227a8507a

2002120102010 has 48 divisors (see below), whose sum is σ = 4221552238848. Its totient is φ = 669698670720.

The previous prime is 2002120101953. The next prime is 2002120102039. The reversal of 2002120102010 is 102010212002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2002120101982 and 2002120102000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8389682 + ... + 8625021.

It is an arithmetic number, because the mean of its divisors is an integer number (87949004976).

Almost surely, 22002120102010 is an apocalyptic number.

2002120102010 is an abundant number, since it is smaller than the sum of its proper divisors (2219432136838).

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

2002120102010 is a wasteful number, since it uses less digits than its factorization.

2002120102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17014799 (or 17014758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002120102010 its reverse (102010212002), we get a palindrome (2104130314012).

The spelling of 2002120102010 in words is "two trillion, two billion, one hundred twenty million, one hundred two thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 1681 2870 3362 8405 11767 16810 23534 58835 117670 17014703 34029406 85073515 119102921 170147030 238205842 595514605 697602823 1191029210 1395205646 3488014115 4883219761 6976028230 9766439522 24416098805 28601715743 48832197610 57203431486 143008578715 200212010201 286017157430 400424020402 1001060051005 2002120102010