Search a number
-
+
111012313100 = 225213437092801
BaseRepresentation
bin110011101100011011…
…0010111100000001100
3101121112122020210212212
41213120312113200030
53304323123004400
6122555351045552
711006663043413
oct1473066274014
9347478223785
10111012313100
1143097613a07
12196219708b8
13a612158740
14553181847a
152d4ae0c335
hex19d8d9780c

111012313100 has 144 divisors (see below), whose sum is σ = 265929750240. Its totient is φ = 39965184000.

The previous prime is 111012313081. The next prime is 111012313103. The reversal of 111012313100 is 1313210111.

It is a happy number.

It is a super-2 number, since 2×1110123131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111012313103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39631700 + ... + 39634500.

Almost surely, 2111012313100 is an apocalyptic number.

111012313100 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 111012313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132964875120).

111012313100 is an abundant number, since it is smaller than the sum of its proper divisors (154917437140).

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

111012313100 is a wasteful number, since it uses less digits than its factorization.

111012313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 111012313100 its reverse (1313210111), we get a palindrome (112325523211).

The spelling of 111012313100 in words is "one hundred eleven billion, twelve million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 709 860 1075 1118 1300 1418 2150 2236 2795 2801 2836 3545 4300 5590 5602 7090 9217 11180 11204 13975 14005 14180 17725 18434 27950 28010 30487 35450 36413 36868 46085 55900 56020 60974 70025 70900 72826 92170 120443 121948 140050 145652 152435 182065 184340 230425 240886 280100 304870 364130 396331 460850 481772 602215 609740 728260 762175 792662 910325 921700 1204430 1524350 1565759 1585324 1820650 1981655 1985909 2408860 3011075 3048700 3131518 3641300 3963310 3971818 6022150 6263036 7828795 7926620 7943636 9908275 9929545 12044300 15657590 19816550 19859090 25816817 31315180 39143975 39633100 39718180 49647725 51633634 78287950 85394087 99295450 103267268 129084085 156575900 170788174 198590900 258168170 341576348 426970435 516336340 645420425 853940870 1110123131 1290840850 1707881740 2134852175 2220246262 2581681700 4269704350 4440492524 5550615655 8539408700 11101231310 22202462620 27753078275 55506156550 111012313100