[go: up one dir, main page]

Search a number
-
+
2421110300 = 2252797181197
BaseRepresentation
bin1001000001001111…
…0011011000011100
320020201202010221212
42100103303120130
514424301012200
61040124443552
7113666045420
oct22023633034
96221663855
102421110300
111032721004
125769a95b8
132c779a55b
1418d796b80
15e2846035
hex904f361c

2421110300 has 144 divisors (see below), whose sum is σ = 6130732608. Its totient is φ = 812851200.

The previous prime is 2421110299. The next prime is 2421110383. The reversal of 2421110300 is 30111242.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12289802 + ... + 12289998.

It is an arithmetic number, because the mean of its divisors is an integer number (42574532).

Almost surely, 22421110300 is an apocalyptic number.

2421110300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065366304).

2421110300 is an abundant number, since it is smaller than the sum of its proper divisors (3709622308).

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

2421110300 is a wasteful number, since it uses less digits than its factorization.

2421110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2421110300 is about 49204.7792394194. The cubic root of 2421110300 is about 1342.7799826863.

Adding to 2421110300 its reverse (30111242), we get a palindrome (2451221542).

The spelling of 2421110300 in words is "two billion, four hundred twenty-one million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 181 194 197 350 362 388 394 485 679 700 724 788 905 970 985 1267 1358 1379 1810 1940 1970 2425 2534 2716 2758 3395 3620 3940 4525 4850 4925 5068 5516 6335 6790 6895 9050 9700 9850 12670 13580 13790 16975 17557 18100 19109 19700 25340 27580 31675 33950 34475 35114 35657 38218 63350 67900 68950 70228 71314 76436 87785 95545 122899 126700 133763 137900 142628 175570 178285 191090 245798 249599 267526 351140 356570 382180 438925 477725 491596 499198 535052 614495 668815 713140 877850 891425 955450 998396 1228990 1247995 1337630 1755700 1782850 1910900 2457980 2495990 2675260 3072475 3344075 3458729 3565700 4991980 6144950 6239975 6688150 6917458 12289900 12479950 13376300 13834916 17293645 24211103 24959900 34587290 48422206 69174580 86468225 96844412 121055515 172936450 242111030 345872900 484222060 605277575 1210555150 2421110300