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111220201000 = 2353674213943
BaseRepresentation
bin110011110010100111…
…1011001011000101000
3101122002010102121110201
41213211033121120220
53310234332413000
6123032134521544
711015066052526
oct1474517313050
9348063377421
10111220201000
11431939a4197
121967b5062b4
13a64624512c
145551291316
152d5e2c396a
hex19e53d9628

111220201000 has 128 divisors (see below), whose sum is σ = 264834236160. Its totient is φ = 43708896000.

The previous prime is 111220200997. The next prime is 111220201019. The reversal of 111220201000 is 102022111.

It is a super-2 number, since 2×1112202010002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28205029 + ... + 28208971.

It is an arithmetic number, because the mean of its divisors is an integer number (2069017470).

Almost surely, 2111220201000 is an apocalyptic number.

111220201000 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 111220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132417118080).

111220201000 is an abundant number, since it is smaller than the sum of its proper divisors (153614035160).

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

111220201000 is a wasteful number, since it uses less digits than its factorization.

111220201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 111220201000 its reverse (102022111), we get a palindrome (111322223111).

The spelling of 111220201000 in words is "one hundred eleven billion, two hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 421 500 536 670 842 1000 1340 1675 1684 2105 2680 3350 3368 3943 4210 6700 7886 8375 8420 10525 13400 15772 16750 16840 19715 21050 28207 31544 33500 39430 42100 52625 56414 67000 78860 84200 98575 105250 112828 141035 157720 197150 210500 225656 264181 282070 394300 421000 492875 528362 564140 705175 788600 985750 1056724 1128280 1320905 1410350 1660003 1971500 2113448 2641810 2820700 3320006 3525875 3943000 5283620 5641400 6604525 6640012 7051750 8300015 10567240 13209050 13280024 14103500 16600030 26418100 28207000 33022625 33200060 41500075 52836200 66045250 66400120 83000150 111220201 132090500 166000300 207500375 222440402 264181000 332000600 415000750 444880804 556101005 830001500 889761608 1112202010 1660003000 2224404020 2780505025 4448808040 5561010050 11122020100 13902525125 22244040200 27805050250 55610100500 111220201000