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11101122002020 = 2254121313635197
BaseRepresentation
bin1010000110001010111001…
…1011101111110001100100
31110022020221021112121222111
42201202232123233301210
52423340044213031040
635335441323010404
72224013103052621
oct241425633576144
943266837477874
1011101122002020
11359aa60a67806
1212b357b369a04
13626aa6518bcb
142a5423621348
15143b74173dea
hexa18ae6efc64

11101122002020 has 48 divisors (see below), whose sum is σ = 23882108343408. Its totient is φ = 4331935088640.

The previous prime is 11101122002011. The next prime is 11101122002077. The reversal of 11101122002020 is 2020022110111.

It can be written as a sum of positive squares in 8 ways, for example, as 317832102756 + 10783289899264 = 563766^2 + 3283792^2 .

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 15 ways as a sum of consecutive naturals, for example, 17159062 + ... + 17794258.

It is an arithmetic number, because the mean of its divisors is an integer number (497543923821).

Almost surely, 211101122002020 is an apocalyptic number.

11101122002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101122002020 is an abundant number, since it is smaller than the sum of its proper divisors (12780986341388).

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

11101122002020 is a wasteful number, since it uses less digits than its factorization.

11101122002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656560 (or 656558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11101122002020 its reverse (2020022110111), we get a palindrome (13121144112131).

The spelling of 11101122002020 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 21313 42626 85252 106565 213130 426260 635197 873833 1270394 1747666 2540788 3175985 3495332 4369165 6351970 8738330 12703940 17476660 26043077 52086154 104172308 130215385 260430770 520861540 13537953661 27075907322 54151814644 67689768305 135379536610 270759073220 555056100101 1110112200202 2220224400404 2775280500505 5550561001010 11101122002020