Search a number
-
+
2121212120202 = 232722375493349
BaseRepresentation
bin11110110111100010000…
…110000100110010001010
321111210012220211112210100
4132313202012010302022
5234223220300321302
64302245453230230
7306152420345430
oct36674206046212
97453186745710
102121212120202
11748667a3a83a
122a3131792376
1312504c8c7816
147494ab9cd50
153a29e5b4d1c
hex1ede2184c8a

2121212120202 has 48 divisors (see below), whose sum is σ = 5276079244800. Its totient is φ = 603342837216.

The previous prime is 2121212120171. The next prime is 2121212120227. The reversal of 2121212120202 is 2020212121212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 37718577 + ... + 37774772.

It is an arithmetic number, because the mean of its divisors is an integer number (109918317600).

Almost surely, 22121212120202 is an apocalyptic number.

2121212120202 is an abundant number, since it is smaller than the sum of its proper divisors (3154867124598).

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

2121212120202 is a wasteful number, since it uses less digits than its factorization.

2121212120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75493587 (or 75493584 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2121212120202 its reverse (2020212121212), we get a palindrome (4141424241414).

The spelling of 2121212120202 in words is "two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 2007 3122 4014 4683 9366 14049 28098 75493349 150986698 226480047 452960094 528453443 679440141 1056906886 1358880282 1585360329 3170720658 4756080987 9512161974 16835016827 33670033654 50505050481 101010100962 117845117789 151515151443 235690235578 303030302886 353535353367 707070706734 1060606060101 2121212120202