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2002010212120 = 235471636533123
BaseRepresentation
bin11101001000100001000…
…110111000011100011000
321002101112112102012120211
4131020201012320130120
5230300104103241440
64131413310500504
7264432452011552
oct35104106703430
97071475365524
102002010212120
11702058632a16
12284005204734
13116a33b759b9
146cc7d8464d2
153712470aeea
hex1d2211b8718

2002010212120 has 64 divisors (see below), whose sum is σ = 4628587691520. Its totient is φ = 778957202304.

The previous prime is 2002010212109. The next prime is 2002010212121. The reversal of 2002010212120 is 212120102002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002010212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010212121) 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 15 ways as a sum of consecutive naturals, for example, 2960122 + ... + 3573001.

It is an arithmetic number, because the mean of its divisors is an integer number (72321682680).

Almost surely, 22002010212120 is an apocalyptic number.

2002010212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002010212120 is an abundant number, since it is smaller than the sum of its proper divisors (2626577479400).

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

2002010212120 is a wasteful number, since it uses less digits than its factorization.

2002010212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533344 (or 6533340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002010212120 its reverse (212120102002), we get a palindrome (2214130314122).

The spelling of 2002010212120 in words is "two trillion, two billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 163 188 235 326 376 470 652 815 940 1304 1630 1880 3260 6520 7661 15322 30644 38305 61288 76610 153220 306440 6533123 13066246 26132492 32665615 52264984 65331230 130662460 261324920 307056781 614113562 1064899049 1228227124 1535283905 2129798098 2456454248 3070567810 4259596196 5324495245 6141135620 8519192392 10648990490 12282271240 21297980980 42595961960 50050255303 100100510606 200201021212 250251276515 400402042424 500502553030 1001005106060 2002010212120