Search a number
-
+
213422343420 = 2235112132261309
BaseRepresentation
bin1100011011000011110…
…1101000010011111100
3202101212202210101012210
43012300331220103330
511444042104442140
6242013405300420
721263542662366
oct3066075502374
9671782711183
10213422343420
118256a392500
1235442864710
1317183056410
14a488989d36
1558419eed80
hex31b0f684fc

213422343420 has 144 divisors (see below), whose sum is σ = 707373948960. Its totient is φ = 47758824960.

The previous prime is 213422343397. The next prime is 213422343473. The reversal of 213422343420 is 24343224312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1036275 + ... + 1225034.

It is an arithmetic number, because the mean of its divisors is an integer number (4912319090).

Almost surely, 2213422343420 is an apocalyptic number.

213422343420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213422343420 is an abundant number, since it is smaller than the sum of its proper divisors (493951605540).

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

213422343420 is a wasteful number, since it uses less digits than its factorization.

213422343420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261356 (or 2261343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 213422343420 its reverse (24343224312), we get a palindrome (237765567732).

The spelling of 213422343420 in words is "two hundred thirteen billion, four hundred twenty-two million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2420 2860 3146 3630 4290 4719 6292 7260 7865 8580 9438 15730 18876 23595 31460 47190 94380 2261309 4522618 6783927 9045236 11306545 13567854 22613090 24874399 27135708 29397017 33919635 45226180 49748798 58794034 67839270 74623197 88191051 99497596 117588068 124371995 135678540 146985085 149246394 176382102 248743990 273618389 293970170 298492788 323367187 352764204 373115985 440955255 497487980 547236778 587940340 646734374 746231970 820855167 881910510 970101561 1094473556 1293468748 1368091945 1492463940 1616835935 1641710334 1763821020 1940203122 2736183890 3233671870 3283420668 3557039057 3880406244 4104275835 4850507805 5472367780 6467343740 7114078114 8208551670 9701015610 10671117171 14228156228 16417103340 17785195285 19402031220 21342234342 35570390570 42684468684 53355585855 71140781140 106711171710 213422343420