Search a number
-
+
1113011012000 = 25531716367809
BaseRepresentation
bin10000001100100100101…
…000000100000110100000
310221101212122120122211002
4100030210220010012200
5121213421304341000
62211151000411132
7143261310335066
oct20144450040640
93841778518732
101113011012000
1139a030777978
1215b861176aa8
1380c58534344
143bc2749c036
151de42d7a8d5
hex10324a041a0

1113011012000 has 96 divisors (see below), whose sum is σ = 2895531060240. Its totient is φ = 419015884800.

The previous prime is 1113011011997. The next prime is 1113011012021. The reversal of 1113011012000 is 2101103111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 720170896 + 1112290841104 = 26836^2 + 1054652^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8115905 + ... + 8251904.

Almost surely, 21113011012000 is an apocalyptic number.

1113011012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113011012000 is an abundant number, since it is smaller than the sum of its proper divisors (1782520048240).

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

1113011012000 is a wasteful number, since it uses less digits than its factorization.

1113011012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367851 (or 16367833 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1113011012000 its reverse (2101103111), we get a palindrome (1115112115111).

The spelling of 1113011012000 in words is "one trillion, one hundred thirteen billion, eleven million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 16367809 32735618 65471236 81839045 130942472 163678090 261884944 278252753 327356180 409195225 523769888 556505506 654712360 818390450 1113011012 1309424720 1391263765 1636780900 2045976125 2226022024 2618849440 2782527530 3273561800 4091952250 4452044048 5565055060 6547123600 6956318825 8183904500 8904088096 11130110120 13094247200 13912637650 16367809000 22260220240 27825275300 32735618000 34781594125 44520440480 55650550600 65471236000 69563188250 111301101200 139126376500 222602202400 278252753000 556505506000 1113011012000