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11010202220200 = 2352173571755661
BaseRepresentation
bin1010000000111000001100…
…1100010011011010101000
31102222120020220221011101211
42200032003030103122220
52420342343232021300
635230003404322504
72214314034500461
oct240160314233250
942876226834354
1011010202220200
113565445132a57
121299a26543434
1361b346c95241
142a0c7a4d7d68
151416021ae4ba
hexa03833136a8

11010202220200 has 96 divisors (see below), whose sum is σ = 25751655817560. Its totient is φ = 4377779225600.

The previous prime is 11010202220179. The next prime is 11010202220219. The reversal of 11010202220200 is 202220201011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1798479473476 + 9211722746724 = 1341074^2 + 3035082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197780370 + ... + 197836030.

Almost surely, 211010202220200 is an apocalyptic number.

11010202220200 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 11010202220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875827908780).

11010202220200 is an abundant number, since it is smaller than the sum of its proper divisors (14741453597360).

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

11010202220200 is a wasteful number, since it uses less digits than its factorization.

11010202220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61567 (or 61558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11010202220200 its reverse (202220201011), we get a palindrome (11212422421211).

The spelling of 11010202220200 in words is "eleven trillion, ten billion, two hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 5717 6920 8650 11434 17300 22868 28585 34600 45736 55661 57170 111322 114340 142925 222644 228680 278305 285850 445288 556610 571700 989041 1113220 1143400 1391525 1978082 2226440 2783050 3956164 4945205 5566100 7912328 9629353 9890410 11132200 19258706 19780820 24726025 38517412 39561640 48146765 49452050 77034824 96293530 98904100 192587060 197808200 240733825 318213937 385174120 481467650 636427874 962935300 1272855748 1591069685 1925870600 2545711496 3182139370 6364278740 7955348425 12728557480 15910696850 31821393700 55051011101 63642787400 110102022202 220204044404 275255055505 440408088808 550510111010 1101020222020 1376275277525 2202040444040 2752550555050 5505101110100 11010202220200