Search a number
-
+
112000100200 = 23527119340867
BaseRepresentation
bin110100001001110111…
…0011110011101101000
3101201002110221121001021
41220103232132131220
53313334011201300
6123241354502224
711043316100242
oct1502356363550
9351073847037
10112000100200
1143554155a8a
1219858734974
13a73b9aaa51
1455c6aa7092
152da79c9d1a
hex1a13b9e768

112000100200 has 96 divisors (see below), whose sum is σ = 265442564160. Its totient is φ = 43939123200.

The previous prime is 112000100159. The next prime is 112000100227. The reversal of 112000100200 is 2001000211.

It is a super-3 number, since 3×1120001002003 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2720167 + ... + 2761033.

It is an arithmetic number, because the mean of its divisors is an integer number (2765026710).

Almost surely, 2112000100200 is an apocalyptic number.

112000100200 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 112000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132721282080).

112000100200 is an abundant number, since it is smaller than the sum of its proper divisors (153442463960).

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

112000100200 is a wasteful number, since it uses less digits than its factorization.

112000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41147 (or 41138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 112000100200 its reverse (2001000211), we get a palindrome (114001100411).

The spelling of 112000100200 in words is "one hundred twelve billion, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 193 200 284 355 386 568 710 772 965 1420 1544 1775 1930 2840 3550 3860 4825 7100 7720 9650 13703 14200 19300 27406 38600 40867 54812 68515 81734 109624 137030 163468 204335 274060 326936 342575 408670 548120 685150 817340 1021675 1370300 1634680 2043350 2740600 2901557 4086700 5803114 7887331 8173400 11606228 14507785 15774662 23212456 29015570 31549324 39436655 58031140 63098648 72538925 78873310 116062280 145077850 157746620 197183275 290155700 315493240 394366550 560000501 580311400 788733100 1120001002 1577466200 2240002004 2800002505 4480004008 5600005010 11200010020 14000012525 22400020040 28000025050 56000050100 112000100200