Search a number
-
+
2121424214 = 2713219411151
BaseRepresentation
bin111111001110010…
…0101110101010110
312110211211111221012
41332130211311112
513321041033324
6550301252222
7103366544150
oct17634456526
95424744835
102121424214
11999541458
124b2564072
1327a67c600
14161a65ad0
15c639a20e
hex7e725d56

2121424214 has 96 divisors (see below), whose sum is σ = 4250050560. Its totient is φ = 775008000.

The previous prime is 2121424183. The next prime is 2121424223. The reversal of 2121424214 is 4124241212.

It is a self number, because there is not a number n which added to its sum of digits gives 2121424214.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1842539 + ... + 1843689.

It is an arithmetic number, because the mean of its divisors is an integer number (44271360).

Almost surely, 22121424214 is an apocalyptic number.

2121424214 is an abundant number, since it is smaller than the sum of its proper divisors (2128626346).

2121424214 is a wasteful number, since it uses less digits than its factorization.

2121424214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1233 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 2121424214 is about 46058.9211119844. The cubic root of 2121424214 is about 1284.9192647626.

Adding to 2121424214 its reverse (4124241212), we get a palindrome (6245665426).

The spelling of 2121424214 in words is "two billion, one hundred twenty-one million, four hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 7 13 14 19 26 38 41 82 91 133 169 182 247 266 287 338 494 533 574 779 1066 1151 1183 1558 1729 2302 2366 3211 3458 3731 5453 6422 6929 7462 8057 10127 10906 13858 14963 16114 20254 21869 22477 29926 43738 44954 47191 48503 70889 94382 97006 104741 131651 141778 153083 194519 209482 263302 284297 306166 330337 389038 568594 613483 660674 896629 921557 1226966 1361633 1793258 1843114 1990079 2723266 3695861 3980158 4294381 6276403 7391722 7975279 8588762 11656177 12552806 15950558 23312354 25871027 51742054 55826953 81593239 111653906 151530301 163186478 303060602 1060712107 2121424214