Search a number
-
+
11020120201000 = 2353101109110101
BaseRepresentation
bin1010000001011101001001…
…0110011001011100101000
31110000111212010100210100001
42200113102112121130220
52421023201232413000
635234323501152344
72215114565106421
oct240272226313450
943014763323301
1011020120201000
1135696746177a9
12129b933b5b6b4
1361c267996231
142a153b7ca648
151419d2c6a46a
hexa05d2599728

11020120201000 has 64 divisors (see below), whose sum is σ = 26042399145360. Its totient is φ = 4364404000000.

The previous prime is 11020120200979. The next prime is 11020120201009. The reversal of 11020120201000 is 10202102011.

It can be written as a sum of positive squares in 8 ways, for example, as 237447645796 + 10782672555204 = 487286^2 + 3283698^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11020120201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54454051 + ... + 54656050.

Almost surely, 211020120201000 is an apocalyptic number.

11020120201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020120201000 is an abundant number, since it is smaller than the sum of its proper divisors (15022278944360).

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

11020120201000 is a wasteful number, since it uses less digits than its factorization.

11020120201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109110223 (or 109110209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11020120201000 its reverse (10202102011), we get a palindrome (11030322303011).

The spelling of 11020120201000 in words is "eleven trillion, twenty billion, one hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 109110101 218220202 436440404 545550505 872880808 1091101010 2182202020 2727752525 4364404040 5455505050 10911010100 11020120201 13638762625 21822020200 22040240402 27277525250 44080480804 54555050500 55100601005 88160961608 109110101000 110201202010 220402404020 275503005025 440804808040 551006010050 1102012020100 1377515025125 2204024040200 2755030050250 5510060100500 11020120201000