Search a number
-
+
32020010112 = 2733119114083
BaseRepresentation
bin11101110100100010…
…101001010010000000
310001122112022001022110
4131310202221102000
51011034110310422
622413151535320
72212325411106
oct356442512200
9101575261273
1032020010112
1112641508582
12625752a540
133033a2735c
14179a831c76
15c7614060c
hex7748a9480

32020010112 has 128 divisors (see below), whose sum is σ = 88262737920. Its totient is φ = 10274227200.

The previous prime is 32020010107. The next prime is 32020010159. The reversal of 32020010112 is 21101002023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2266623 + ... + 2280705.

It is an arithmetic number, because the mean of its divisors is an integer number (689552640).

Almost surely, 232020010112 is an apocalyptic number.

32020010112 is a gapful number since it is divisible by the number (32) 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 32020010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44131368960).

32020010112 is an abundant number, since it is smaller than the sum of its proper divisors (56242727808).

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

32020010112 is a wasteful number, since it uses less digits than its factorization.

32020010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14322 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32020010112 its reverse (21101002023), we get a palindrome (53121012135).

The spelling of 32020010112 in words is "thirty-two billion, twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 191 192 248 372 382 384 496 573 744 764 992 1146 1488 1528 1984 2292 2976 3056 3968 4584 5921 5952 6112 9168 11842 11904 12224 14083 17763 18336 23684 24448 28166 35526 36672 42249 47368 56332 71052 73344 84498 94736 112664 142104 168996 189472 225328 284208 337992 378944 436573 450656 568416 675984 757888 873146 901312 1136832 1309719 1351968 1746292 1802624 2273664 2619438 2689853 2703936 3492584 5238876 5379706 5407872 6985168 8069559 10477752 10759412 13970336 16139118 20955504 21518824 27940672 32278236 41911008 43037648 55881344 64556472 83385443 83822016 86075296 129112944 166770886 167644032 172150592 250156329 258225888 333541772 344301184 500312658 516451776 667083544 1000625316 1032903552 1334167088 2001250632 2668334176 4002501264 5336668352 8005002528 10673336704 16010005056 32020010112