Search a number
-
+
10000611061000 = 235379439151357
BaseRepresentation
bin1001000110000111001011…
…0111101010110100001000
31022102001022210001100221021
42101201302313222310020
52302322222412423000
633134114534122224
72051343315312250
oct221416267526410
938361283040837
1010000611061000
11320626525720a
1211562284b0374
13577090927891
14268064354960
151252138e811a
hex91872dead08

10000611061000 has 128 divisors (see below), whose sum is σ = 26747501414400. Its totient is φ = 3428395027200.

The previous prime is 10000611060961. The next prime is 10000611061031. The reversal of 10000611061000 is 16011600001.

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, 65997322 + ... + 66148678.

It is an arithmetic number, because the mean of its divisors is an integer number (208964854800).

Almost surely, 210000611061000 is an apocalyptic number.

10000611061000 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 10000611061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373750707200).

10000611061000 is an abundant number, since it is smaller than the sum of its proper divisors (16746890353400).

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

10000611061000 is a wasteful number, since it uses less digits than its factorization.

10000611061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160824 (or 160810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10000611061000 its reverse (16011600001), we get a palindrome (10016622661001).

The spelling of 10000611061000 in words is "ten trillion, six hundred eleven million, sixty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 9439 18878 37756 47195 66073 75512 94390 132146 151357 188780 235975 264292 302714 330365 377560 471950 528584 605428 660730 756785 943900 1059499 1179875 1210856 1321460 1513570 1651825 1887800 2118998 2359750 2642920 3027140 3303650 3783925 4237996 4719500 5297495 6054280 6607300 7567850 8259125 8475992 9439000 10594990 13214600 15135700 16518250 18919625 21189980 26487475 30271400 33036500 37839250 42379960 52974950 66073000 75678500 105949900 132437375 151357000 211899800 264874750 529749500 1059499000 1428658723 2857317446 5714634892 7143293615 10000611061 11429269784 14286587230 20001222122 28573174460 35716468075 40002444244 50003055305 57146348920 71432936150 80004888488 100006110610 142865872300 178582340375 200012221220 250015276525 285731744600 357164680750 400024442440 500030553050 714329361500 1000061106100 1250076382625 1428658723000 2000122212200 2500152765250 5000305530500 10000611061000