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20111221200200 = 23521367115449031
BaseRepresentation
bin1001001001010100000100…
…01100100001010101001000
32122012121120120202212202212
410210222002030201111020
510114000240111401300
6110434544550244252
74143662544435524
oct444520214412510
978177516685685
1020111221200200
116454137083a09
122309833356688
13b2b6317b88c0
144d75616ccd84
1524d2142a5935
hex124a82321548

20111221200200 has 96 divisors (see below), whose sum is σ = 51106977485760. Its totient is φ = 7314850540800.

The previous prime is 20111221200199. The next prime is 20111221200229. The reversal of 20111221200200 is 200212211102.

It is a super-2 number, since 2×201112212002002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57550316 + ... + 57898715.

It is an arithmetic number, because the mean of its divisors is an integer number (532364348810).

Almost surely, 220111221200200 is an apocalyptic number.

20111221200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111221200200 is an abundant number, since it is smaller than the sum of its proper divisors (30995756285560).

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

20111221200200 is a wasteful number, since it uses less digits than its factorization.

20111221200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115449127 (or 115449118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20111221200200 its reverse (200212211102), we get a palindrome (20311433411302).

The spelling of 20111221200200 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 67 100 104 130 134 200 260 268 325 335 520 536 650 670 871 1300 1340 1675 1742 2600 2680 3350 3484 4355 6700 6968 8710 13400 17420 21775 34840 43550 87100 174200 115449031 230898062 461796124 577245155 923592248 1154490310 1500837403 2308980620 2886225775 3001674806 4617961240 5772451550 6003349612 7504187015 7735085077 11544903100 12006699224 15008374030 15470170154 23089806200 30016748060 30940340308 37520935075 38675425385 60033496120 61880680616 75041870150 77350850770 100556106001 150083740300 154701701540 193377126925 201112212002 300167480600 309403403080 386754253850 402224424004 502780530005 773508507700 804448848008 1005561060010 1547017015400 2011122120020 2513902650025 4022244240040 5027805300050 10055610600100 20111221200200