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11100112102020 = 22351017331249857
BaseRepresentation
bin1010000110000111001000…
…1111010010001010000100
31110022011022220020101121210
42201201302033102022010
52423331012144231040
635335153205211420
72223646061050014
oct241416217221204
943264286211553
1011100112102020
11359a5929a1a07
1212b3339100b70
13626975223846
142a5369457c44
15143b15689480
hexa18723d2284

11100112102020 has 96 divisors (see below), whose sum is σ = 31392446956416. Its totient is φ = 2930311168000.

The previous prime is 11100112101989. The next prime is 11100112102049. The reversal of 11100112102020 is 2020121100111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100112101987 and 11100112102005.

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 31 ways as a sum of consecutive naturals, for example, 44300932 + ... + 44550788.

It is an arithmetic number, because the mean of its divisors is an integer number (327004655796).

Almost surely, 211100112102020 is an apocalyptic number.

11100112102020 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 11100112102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696223478208).

11100112102020 is an abundant number, since it is smaller than the sum of its proper divisors (20292334854396).

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

11100112102020 is a wasteful number, since it uses less digits than its factorization.

11100112102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257301 (or 257299 counting only the distinct ones).

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

Adding to 11100112102020 its reverse (2020121100111), we get a palindrome (13120233202131).

The spelling of 11100112102020 in words is "eleven trillion, one hundred billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 7331 14662 21993 29324 36655 43986 73310 87972 109965 146620 219930 249857 439860 499714 740431 749571 999428 1249285 1480862 1499142 2221293 2498570 2961724 2998284 3702155 3747855 4442586 4997140 7404310 7495710 8885172 11106465 14808620 14991420 22212930 25235557 44425860 50471114 75706671 100942228 126177785 151413342 252355570 302826684 378533355 504711140 757066710 1514133420 1831701667 3663403334 5495105001 7326806668 9158508335 10990210002 18317016670 21980420004 27475525005 36634033340 54951050010 109902100020 185001868367 370003736734 555005605101 740007473468 925009341835 1110011210202 1850018683670 2220022420404 2775028025505 3700037367340 5550056051010 11100112102020