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111000020100 = 2235229101126323
BaseRepresentation
bin110011101100000011…
…1011110010010000100
3101121111210010021001120
41213120013132102010
53304312001120400
6122554231353540
711006453413644
oct1473007362204
9347453107046
10111000020100
1143090688002
12196198228b0
13a60c743288
14552dd38524
152d49cceca0
hex19d81de484

111000020100 has 144 divisors (see below), whose sum is σ = 335526649920. Its totient is φ = 28296128000.

The previous prime is 111000020077. The next prime is 111000020123. The reversal of 111000020100 is 1020000111.

It is an interprime number because it is at equal distance from previous prime (111000020077) and next prime (111000020123).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 815539 + ... + 941861.

It is an arithmetic number, because the mean of its divisors is an integer number (2330046180).

Almost surely, 2111000020100 is an apocalyptic number.

111000020100 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 111000020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167763324960).

111000020100 is an abundant number, since it is smaller than the sum of its proper divisors (224526629820).

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

111000020100 is a wasteful number, since it uses less digits than its factorization.

111000020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126470 (or 126463 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 111000020100 its reverse (1020000111), we get a palindrome (112020020211).

The spelling of 111000020100 in words is "one hundred eleven billion, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 101 116 145 150 174 202 290 300 303 348 404 435 505 580 606 725 870 1010 1212 1450 1515 1740 2020 2175 2525 2900 2929 3030 4350 5050 5858 6060 7575 8700 8787 10100 11716 14645 15150 17574 29290 30300 35148 43935 58580 73225 87870 126323 146450 175740 219675 252646 292900 378969 439350 505292 631615 757938 878700 1263230 1515876 1894845 2526460 3158075 3663367 3789690 6316150 7326734 7579380 9474225 10990101 12632300 12758623 14653468 18316835 18948450 21980202 25517246 36633670 37896900 38275869 43960404 51034492 54950505 63793115 73267340 76551738 91584175 109901010 127586230 153103476 183168350 191379345 219802020 255172460 274752525 318965575 366336700 370000067 382758690 549505050 637931150 740000134 765517380 956896725 1099010100 1110000201 1275862300 1480000268 1850000335 1913793450 2220000402 3700000670 3827586900 4440000804 5550001005 7400001340 9250001675 11100002010 18500003350 22200004020 27750005025 37000006700 55500010050 111000020100