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2421211002 = 237197389467
BaseRepresentation
bin1001000001010000…
…1011111101111010
320020201221021002120
42100110023331322
514424312223002
61040130542110
7113666645130
oct22024137572
96221837076
102421211002
11103278a731
12576a37936
132c7804342
1418d7c1750
15e2865cbc
hex9050bf7a

2421211002 has 128 divisors (see below), whose sum is σ = 5984409600. Its totient is φ = 637756416.

The previous prime is 2421210997. The next prime is 2421211003. The reversal of 2421211002 is 2001121242.

2421211002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2421211003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5184373 + ... + 5184839.

It is an arithmetic number, because the mean of its divisors is an integer number (46753200).

Almost surely, 22421211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992204800).

2421211002 is an abundant number, since it is smaller than the sum of its proper divisors (3563198598).

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

2421211002 is a wasteful number, since it uses less digits than its factorization.

2421211002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2421211002 is about 49205.8025236862. The cubic root of 2421211002 is about 1342.7985993178.

Adding to 2421211002 its reverse (2001121242), we get a palindrome (4422332244).

The spelling of 2421211002 in words is "two billion, four hundred twenty-one million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 89 114 133 146 178 219 266 267 399 438 467 511 534 623 798 934 1022 1246 1387 1401 1533 1691 1869 2774 2802 3066 3269 3382 3738 4161 5073 6497 6538 8322 8873 9709 9807 10146 11837 12994 17746 19418 19491 19614 23674 26619 29127 34091 35511 38982 41563 45479 53238 58254 62111 68182 71022 83126 90958 102273 123443 124222 124689 136437 186333 204546 238637 246886 249378 272874 290941 370329 372666 477274 581882 647729 715911 740658 789697 864101 872823 1295458 1431822 1579394 1728202 1745646 1943187 2369091 2592303 3034099 3886374 4534103 4738182 5184606 5527879 6068198 9068206 9102297 11055758 13602309 16583637 18204594 21238693 27204618 33167274 42477386 57647881 63716079 115295762 127432158 172943643 345887286 403535167 807070334 1210605501 2421211002