Search a number
-
+
30112123221224 = 23114795322733361
BaseRepresentation
bin1101101100011000001100…
…11010000111010011101000
310221121200122122022112211022
412312030012122013103220
512421324112021034344
6144013152440552012
76225346325140052
oct666140632072350
9127550578275738
1030112123221224
11965a53059a750
123463b21182608
1313a573a797675
147616125428d2
153734434c40ee
hex1b63066874e8

30112123221224 has 128 divisors (see below), whose sum is σ = 63015920801280. Its totient is φ = 13372184985600.

The previous prime is 30112123221101. The next prime is 30112123221247. The reversal of 30112123221224 is 42212232121103.

It is a junction number, because it is equal to n+sod(n) for n = 30112123221193 and 30112123221202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8959273304 + ... + 8959276664.

It is an arithmetic number, because the mean of its divisors is an integer number (492311881260).

Almost surely, 230112123221224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30112123221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31507960400640).

30112123221224 is an abundant number, since it is smaller than the sum of its proper divisors (32903797580056).

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

30112123221224 is a wasteful number, since it uses less digits than its factorization.

30112123221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 30112123221224 its reverse (42212232121103), we get a palindrome (72324355342327).

The spelling of 30112123221224 in words is "thirty trillion, one hundred twelve billion, one hundred twenty-three million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 953 1034 1906 2068 2273 3361 3812 4136 4546 6722 7624 9092 10483 13444 18184 20966 25003 26888 36971 41932 44791 50006 73942 83864 89582 100012 106831 147884 157967 179164 200024 213662 295768 315934 358328 427324 492701 631868 854648 985402 1175141 1263736 1737637 1970804 2166169 2350282 3203033 3475274 3941608 4332338 4700564 6406066 6950548 7639553 8664676 9401128 12812132 13901096 15279106 17329352 23827859 25624264 30558212 35233363 47655718 61116424 70466726 84035083 95311436 101809943 140933452 150542551 168070166 190622872 203619886 281866904 301085102 336140332 359058991 407239772 602170204 672280664 718117982 814479544 1119909373 1204340408 1436235964 1655968061 2239818746 2872471928 3311936122 3949648901 4479637492 6623872244 7280494009 7899297802 8959274984 13247744488 14560988018 15798595604 29121976036 31597191208 58243952072 80085434099 160170868198 320341736396 342183218423 640683472792 684366436846 1368732873692 2737465747384 3764015402653 7528030805306 15056061610612 30112123221224