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2002102010202 = 237271229418837
BaseRepresentation
bin11101001000100110100…
…101000100000101011010
321002101202221011000212210
4131020212211010011122
5230300301103311302
64131430350215550
7264434645203500
oct35104645040532
97071687130783
102002102010202
117020a54321a8
1228402bab45b6
13116a49ba71a8
146cc8bb00670
153712c7e066c
hex1d22694415a

2002102010202 has 96 divisors (see below), whose sum is σ = 4744194779520. Its totient is φ = 561508295040.

The previous prime is 2002102010197. The next prime is 2002102010221. The reversal of 2002102010202 is 2020102012002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4570728 + ... + 4989564.

It is an arithmetic number, because the mean of its divisors is an integer number (49418695620).

Almost surely, 22002102010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002102010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372097389760).

2002102010202 is an abundant number, since it is smaller than the sum of its proper divisors (2742092769318).

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

2002102010202 is a wasteful number, since it uses less digits than its factorization.

2002102010202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419156 (or 419149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002102010202 its reverse (2020102012002), we get a palindrome (4022204022204).

The spelling of 2002102010202 in words is "two trillion, two billion, one hundred two million, ten thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 229 294 426 458 497 687 994 1374 1491 1603 2982 3206 3479 4809 6958 9618 10437 11221 16259 20874 22442 32518 33663 48777 67326 97554 113813 227626 341439 418837 682878 796691 837674 1256511 1593382 2390073 2513022 2931859 4780146 5863718 8795577 17591154 20523013 29737427 41046026 59474854 61569039 89212281 95913673 123138078 178424562 191827346 208161989 287741019 416323978 575482038 624485967 671395711 1248971934 1342791422 1457133923 2014187133 2914267846 4028374266 4371401769 4699769977 6809870783 8742803538 9399539954 13619741566 14099309931 20429612349 28198619862 40859224698 47669095481 95338190962 143007286443 286014572886 333683668367 667367336734 1001051005101 2002102010202