Search a number
-
+
421433300310 = 2351123163340643
BaseRepresentation
bin1100010000111110110…
…00011101010101010110
31111021210102002211122020
412020133120131111112
523401043411102220
6521334230114010
742306336643011
oct6103730352526
91437712084566
10421433300310
11152802125130
12698151ab906
1330982c53969
141657c988378
15ae683d6040
hex621f61d556

421433300310 has 128 divisors (see below), whose sum is σ = 1158429413376. Its totient is φ = 97123847040.

The previous prime is 421433300279. The next prime is 421433300341. The reversal of 421433300310 is 13003334124.

It is an interprime number because it is at equal distance from previous prime (421433300279) and next prime (421433300341).

It is a super-2 number, since 2×4214333003102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066849 + ... + 1407491.

It is an arithmetic number, because the mean of its divisors is an integer number (9050229792).

Almost surely, 2421433300310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421433300310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579214706688).

421433300310 is an abundant number, since it is smaller than the sum of its proper divisors (736996113066).

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

421433300310 is a wasteful number, since it uses less digits than its factorization.

421433300310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340850.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 421433300310 its reverse (13003334124), we get a palindrome (434436634434).

The spelling of 421433300310 in words is "four hundred twenty-one billion, four hundred thirty-three million, three hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 163 165 230 253 326 330 345 489 506 690 759 815 978 1265 1518 1630 1793 2445 2530 3586 3749 3795 4890 5379 7498 7590 8965 10758 11247 17930 18745 22494 26895 37490 41239 53790 56235 82478 112470 123717 206195 247434 340643 412390 618585 681286 1021929 1237170 1703215 2043858 3406430 3747073 5109645 7494146 7834789 10219290 11241219 15669578 18735365 22482438 23504367 37470730 39173945 47008734 55524809 56206095 78347890 86182679 111049618 112412190 117521835 166574427 172365358 235043670 258548037 277624045 333148854 430913395 517096074 555248090 610772899 832872135 861826790 1221545798 1277070607 1292740185 1665744270 1832318697 2554141214 2585480370 3053864495 3664637394 3831211821 6107728990 6385353035 7662423642 9161593485 12770706070 14047776677 18323186970 19156059105 28095553354 38312118210 42143330031 70238883385 84286660062 140477766770 210716650155 421433300310