Search a number
-
+
112312320330 = 23572431177269
BaseRepresentation
bin110100010011001010…
…1100000000101001010
3101201220020110000112210
41220212111200011022
53320003423222310
6123332350445550
711054126654100
oct1504625400512
9351806400483
10112312320330
11436a4416651
12199252038b6
13a78b596aa2
14561633bc70
152dc50ee820
hex1a2656014a

112312320330 has 96 divisors (see below), whose sum is σ = 314286946560. Its totient is φ = 25611680640.

The previous prime is 112312320311. The next prime is 112312320427. The reversal of 112312320330 is 33023213211.

It is a super-2 number, since 2×1123123203302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112312320297 and 112312320306.

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, 544936 + ... + 722204.

It is an arithmetic number, because the mean of its divisors is an integer number (3273822360).

Almost surely, 2112312320330 is an apocalyptic number.

112312320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157143473280).

112312320330 is an abundant number, since it is smaller than the sum of its proper divisors (201974626230).

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

112312320330 is a wasteful number, since it uses less digits than its factorization.

112312320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177724 (or 177717 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 112312320330 its reverse (33023213211), we get a palindrome (145335533541).

The spelling of 112312320330 in words is "one hundred twelve billion, three hundred twelve million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 431 490 735 862 1293 1470 2155 2586 3017 4310 6034 6465 9051 12930 15085 18102 21119 30170 42238 45255 63357 90510 105595 126714 177269 211190 316785 354538 531807 633570 886345 1063614 1240883 1772690 2481766 2659035 3722649 5318070 6204415 7445298 8686181 12408830 17372362 18613245 26058543 37226490 43430905 52117086 76402939 86861810 130292715 152805878 229208817 260585430 382014695 458417634 534820573 764029390 1069641146 1146044085 1604461719 2292088170 2674102865 3208923438 3743744011 5348205730 7487488022 8022308595 11231232033 16044617190 18718720055 22462464066 37437440110 56156160165 112312320330