Search a number
-
+
112330221020 = 225173976611259
BaseRepresentation
bin110100010011101100…
…1110010010111011100
3101201221111010110200022
41220213121302113130
53320023014033040
6123334230251312
711054435060513
oct1504731622734
9351844113608
10112330221020
1143703532706
121992b1b6b38
13a7921c3804
14561887b67a
152dc69886b5
hex1a276725dc

112330221020 has 96 divisors (see below), whose sum is σ = 250976698560. Its totient is φ = 42085232640.

The previous prime is 112330221007. The next prime is 112330221061. The reversal of 112330221020 is 20122033211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 112330221020.

It is a congruent number.

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, 89221151 + ... + 89222409.

It is an arithmetic number, because the mean of its divisors is an integer number (2614340610).

Almost surely, 2112330221020 is an apocalyptic number.

112330221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112330221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125488349280).

112330221020 is an abundant number, since it is smaller than the sum of its proper divisors (138646477540).

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

112330221020 is a wasteful number, since it uses less digits than its factorization.

112330221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 112330221020 its reverse (20122033211), we get a palindrome (132452254231).

The spelling of 112330221020 in words is "one hundred twelve billion, three hundred thirty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 661 794 1259 1322 1588 1985 2518 2644 3305 3970 5036 6295 6610 6749 7940 11237 12590 13220 13498 21403 22474 25180 26996 33745 42806 44948 56185 67490 85612 107015 112370 134980 214030 224740 262417 428060 499823 524834 832199 999646 1049668 1312085 1664398 1999292 2499115 2624170 3328796 4160995 4461089 4998230 5248340 8321990 8496991 8922178 9996460 14147383 16643980 16993982 17844356 22305445 28294766 33987964 42484955 44610890 56589532 70736915 84969910 89221780 141473830 169939820 282947660 330383003 660766006 1321532012 1651915015 3303830030 5616511051 6607660060 11233022102 22466044204 28082555255 56165110510 112330221020