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11110021212200 = 2352736011266157
BaseRepresentation
bin1010000110101100000011…
…0111100010100000101000
31110100002220110222100100112
42201223000313202200220
52424011310412242300
635343512343553452
72224446453102041
oct241530067424050
943302813870315
1011110021212200
1135a3808378069
1212b524375b888
1362789413a051
142a5a294bb8c8
15143ee5591e35
hexa1ac0de2828

11110021212200 has 96 divisors (see below), whose sum is σ = 26228235061560. Its totient is φ = 4375835136000.

The previous prime is 11110021212181. The next prime is 11110021212211. The reversal of 11110021212200 is 221212001111.

It can be written as a sum of positive squares in 12 ways, for example, as 1767107614276 + 9342913597924 = 1329326^2 + 3056618^2 .

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, 8141522 + ... + 9407678.

Almost surely, 211110021212200 is an apocalyptic number.

11110021212200 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 11110021212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13114117530780).

11110021212200 is an abundant number, since it is smaller than the sum of its proper divisors (15118213849360).

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

11110021212200 is a wasteful number, since it uses less digits than its factorization.

11110021212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266847 (or 1266838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11110021212200 its reverse (221212001111), we get a palindrome (11331233213311).

The spelling of 11110021212200 in words is "eleven trillion, one hundred ten billion, twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 601 730 1202 1460 1825 2404 2920 3005 3650 4808 6010 7300 12020 14600 15025 24040 30050 43873 60100 87746 120200 175492 219365 350984 438730 877460 1096825 1266157 1754920 2193650 2532314 4387300 5064628 6330785 8774600 10129256 12661570 25323140 31653925 50646280 63307850 92429461 126615700 184858922 253231400 369717844 462147305 739435688 760960357 924294610 1521920714 1848589220 2310736525 3043841428 3697178440 3804801785 4621473050 6087682856 7609603570 9242946100 15219207140 18485892200 19024008925 30438414280 38048017850 55550106061 76096035700 111100212122 152192071400 222200424244 277750530305 444400848488 555501060610 1111002121220 1388752651525 2222004242440 2777505303050 5555010606100 11110021212200