Search a number
-
+
2342512311030 = 2325791369324061
BaseRepresentation
bin100010000101101000100…
…111010011101011110110
322021221102201012001001100
4202011220213103223312
5301334431122423110
64552045120310530
7331145432053233
oct42055047235366
98257381161040
102342512311030
118234aa148631
12319bb2772446
1313cb89a953b8
1481541ad678a
1540e029d1bc0
hex221689d3af6

2342512311030 has 96 divisors (see below), whose sum is σ = 6168334124160. Its totient is φ = 616692061440.

The previous prime is 2342512311019. The next prime is 2342512311067. The reversal of 2342512311030 is 301132152432.

2342512311030 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 512 + 3 + 110 + 30 = 666.

2342512311030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23425123110302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2342512310985 and 2342512311003.

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, 97345200 + ... + 97369260.

It is an arithmetic number, because the mean of its divisors is an integer number (64253480460).

Almost surely, 22342512311030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342512311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084167062080).

2342512311030 is an abundant number, since it is smaller than the sum of its proper divisors (3825821813130).

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

2342512311030 is a wasteful number, since it uses less digits than its factorization.

2342512311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37846 (or 37843 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2342512311030 its reverse (301132152432), we get a palindrome (2643644463462).

The spelling of 2342512311030 in words is "two trillion, three hundred forty-two billion, five hundred twelve million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 13693 24061 27386 41079 48122 68465 72183 82158 120305 123237 136930 144366 205395 216549 240610 246474 360915 410790 433098 616185 721830 1081747 1082745 1232370 1900819 2163494 2165490 3245241 3801638 5408735 5702457 6490482 9504095 9735723 10817470 11404914 16226205 17107371 19008190 19471446 28512285 32452410 34214742 48678615 57024570 85536855 97357230 171073710 329467273 658934546 988401819 1647336365 1976803638 2965205457 3294672730 4942009095 5930410914 9884018190 14826027285 26027914567 29652054570 52055829134 78083743701 130139572835 156167487402 234251231103 260279145670 390418718505 468502462206 780837437010 1171256155515 2342512311030