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11122001201100 = 2235268575406641
BaseRepresentation
bin1010000111011000101011…
…1011100100011111001100
31110101020211101102211122010
42201312022323210133030
52424210324301413400
635353213220421220
72225352362242266
oct241661273443714
943336741384563
1011122001201100
1135a88a5801039
1212b7627847810
13628a530b638a
142a64445aab36
151444971ad450
hexa1d8aee47cc

11122001201100 has 72 divisors (see below), whose sum is σ = 32184355725648. Its totient is φ = 2965433907200.

The previous prime is 11122001201023. The next prime is 11122001201161. The reversal of 11122001201100 is 110210022111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646221 + ... + 4760420.

It is an arithmetic number, because the mean of its divisors is an integer number (447004940634).

Almost surely, 211122001201100 is an apocalyptic number.

11122001201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122001201100 is an abundant number, since it is smaller than the sum of its proper divisors (21062354524548).

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

11122001201100 is a wasteful number, since it uses less digits than its factorization.

11122001201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413515 (or 5413508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11122001201100 its reverse (110210022111), we get a palindrome (11232211223211).

The spelling of 11122001201100 in words is "eleven trillion, one hundred twenty-two billion, one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6857 13714 20571 27428 34285 41142 68570 82284 102855 137140 171425 205710 342850 411420 514275 685700 1028550 2057100 5406641 10813282 16219923 21626564 27033205 32439846 54066410 64879692 81099615 108132820 135166025 162199230 270332050 324398460 405498075 540664100 810996150 1621992300 37073337337 74146674674 111220012011 148293349348 185366686685 222440024022 370733373370 444880048044 556100060055 741466746740 926833433425 1112200120110 1853666866850 2224400240220 2780500300275 3707333733700 5561000600550 11122001201100