Search a number
-
+
112110021020 = 2252316329173
BaseRepresentation
bin110100001101001000…
…1110010100110011100
3101201101010210011001202
41220122101302212130
53314100131133040
6123300322455032
711046122312144
oct1503221624634
9351333704052
10112110021020
1143600203138
1219889504478
13a7586b605a
1455d751b924
152db248e015
hex1a1a47299c

112110021020 has 72 divisors (see below), whose sum is σ = 247210530336. Its totient is φ = 42626466432.

The previous prime is 112110021011. The next prime is 112110021031. The reversal of 112110021020 is 20120011211.

It is a junction number, because it is equal to n+sod(n) for n = 112110020992 and 112110021010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12217154 + ... + 12226326.

It is an arithmetic number, because the mean of its divisors is an integer number (3433479588).

Almost surely, 2112110021020 is an apocalyptic number.

112110021020 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 112110021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123605265168).

112110021020 is an abundant number, since it is smaller than the sum of its proper divisors (135100509316).

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

112110021020 is a wasteful number, since it uses less digits than its factorization.

112110021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112110021020 its reverse (20120011211), we get a palindrome (132230032231).

The spelling of 112110021020 in words is "one hundred twelve billion, one hundred ten million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 652 815 1630 3260 3749 7498 9173 14996 18346 18745 26569 36692 37490 45865 53138 74980 91730 106276 132845 183460 210979 265690 421958 531380 611087 843916 1054895 1222174 1495199 2109790 2444348 2990398 3055435 4219580 5980796 6110870 7475995 12221740 14951990 29903980 34389577 68779154 137558308 171947885 243717437 343895770 487434874 687791540 974869748 1218587185 2437174370 4874348740 5605501051 11211002102 22422004204 28027505255 56055010510 112110021020