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11010112202100 = 223521123331430089
BaseRepresentation
bin1010000000110111110111…
…0100111010010101110100
31102222120000122112202210010
42200031331310322111310
52420342202210431400
635225550431100220
72214311562401154
oct240157564722564
942876018482703
1011010112202100
1135653a933a030
121299a00371670
1361b331437cab
142a0c6c584764
151415e932c450
hexa037dd3a574

11010112202100 has 144 divisors (see below), whose sum is σ = 34766837904960. Its totient is φ = 2667972172800.

The previous prime is 11010112202087. The next prime is 11010112202107. The reversal of 11010112202100 is 120221101011.

It is a super-2 number, since 2×110101122021002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010112202107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6983856 + ... + 8413944.

It is an arithmetic number, because the mean of its divisors is an integer number (241436374340).

Almost surely, 211010112202100 is an apocalyptic number.

11010112202100 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 11010112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383418952480).

11010112202100 is an abundant number, since it is smaller than the sum of its proper divisors (23756725702860).

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

11010112202100 is a wasteful number, since it uses less digits than its factorization.

11010112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432450 (or 1432443 counting only the distinct ones).

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

Adding to 11010112202100 its reverse (120221101011), we get a palindrome (11130333303111).

The spelling of 11010112202100 in words is "eleven trillion, ten billion, one hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2333 3300 4666 6999 9332 11665 13998 23330 25663 27996 34995 46660 51326 58325 69990 76989 102652 116650 128315 139980 153978 174975 233300 256630 307956 349950 384945 513260 641575 699900 769890 1283150 1430089 1539780 1924725 2566300 2860178 3849450 4290267 5720356 7150445 7698900 8580534 14300890 15730979 17161068 21451335 28601780 31461958 35752225 42902670 47192937 62923916 71504450 78654895 85805340 94385874 107256675 143008900 157309790 188771748 214513350 235964685 314619580 393274475 429026700 471929370 786548950 943858740 1179823425 1573097900 2359646850 3336397637 4719293700 6672795274 10009192911 13345590548 16681988185 20018385822 33363976370 36700374007 40036771644 50045964555 66727952740 73400748014 83409940925 100091929110 110101122021 146801496028 166819881850 183501870035 200183858220 220202244042 250229822775 333639763700 367003740070 440404488084 500459645550 550505610105 734007480140 917509350175 1000919291100 1101011220210 1835018700350 2202022440420 2752528050525 3670037400700 5505056101050 11010112202100