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2002020210102 = 2311416221118927
BaseRepresentation
bin11101001000100001101…
…101000001010110110110
321002101120020020011020110
4131020201231001112312
5230300114133210402
64131414305043450
7264432633002313
oct35104155012666
97071506204213
102002020210102
11702063241610
12284008626586
13116a35c66673
146cc80cc9d0a
153712553356c
hex1d221b415b6

2002020210102 has 64 divisors (see below), whose sum is σ = 4475338656768. Its totient is φ = 591775776000.

The previous prime is 2002020210077. The next prime is 2002020210107. The reversal of 2002020210102 is 2010120202002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020210107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16774563 + ... + 16893489.

It is an arithmetic number, because the mean of its divisors is an integer number (69927166512).

Almost surely, 22002020210102 is an apocalyptic number.

2002020210102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002020210102 is an abundant number, since it is smaller than the sum of its proper divisors (2473318446666).

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

2002020210102 is a wasteful number, since it uses less digits than its factorization.

2002020210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125205.

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

Adding to 2002020210102 its reverse (2010120202002), we get a palindrome (4012140412104).

It can be divided in two parts, 2002020 and 210102, that added together give a palindrome (2212122).

The spelling of 2002020210102 in words is "two trillion, two billion, twenty million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 6221 12442 18663 37326 68431 118927 136862 205293 237854 255061 356781 410586 510122 713562 765183 1308197 1530366 2616394 2805671 3924591 4876007 5611342 7849182 8417013 9752014 14628021 16834026 29256042 53636077 107272154 160908231 321816462 739844867 1479689734 2219534601 4439069202 8138293537 16276587074 24414880611 30333639547 48829761222 60667279094 91000918641 182001837282 333670035017 667340070034 1001010105051 2002020210102