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11102121210012 = 22371967710275061
BaseRepresentation
bin1010000110001110100111…
…1111011011000010011100
31110022100111220201122122220
42201203221333123002130
52423344121012210022
635340124415305340
72224046625144510
oct241435177330234
943270456648586
1011102121210012
1135a0423a9a538
1212b37b9b1b250
13626c05539741
142a54ba204140
15143bd1c4a85c
hexa18e9fdb09c

11102121210012 has 96 divisors (see below), whose sum is σ = 31209884321280. Its totient is φ = 3000646321920.

The previous prime is 11102121209941. The next prime is 11102121210013. The reversal of 11102121210012 is 21001212120111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11102121209973 and 11102121210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102121210013) 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 31 ways as a sum of consecutive naturals, for example, 4057039 + ... + 6218022.

It is an arithmetic number, because the mean of its divisors is an integer number (325102961680).

Almost surely, 211102121210012 is an apocalyptic number.

11102121210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102121210012 is an abundant number, since it is smaller than the sum of its proper divisors (20107763111268).

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

11102121210012 is a wasteful number, since it uses less digits than its factorization.

11102121210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10275771 (or 10275769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11102121210012 its reverse (21001212120111), we get a palindrome (32103333330123).

The spelling of 11102121210012 in words is "eleven trillion, one hundred two billion, one hundred twenty-one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 677 798 1354 1596 2031 2708 4062 4739 8124 9478 12863 14217 18956 25726 28434 38589 51452 56868 77178 90041 154356 180082 270123 360164 540246 1080492 10275061 20550122 30825183 41100244 61650366 71925427 123300732 143850854 195226159 215776281 287701708 390452318 431552562 585678477 780904636 863105124 1171356954 1366583113 2342713908 2733166226 4099749339 5466332452 6956216297 8199498678 13912432594 16398997356 20868648891 27824865188 41737297782 48693514079 83474595564 97387028158 132168109643 146080542237 194774056316 264336219286 292161084474 396504328929 528672438572 584322168948 793008657858 925176767501 1586017315716 1850353535002 2775530302503 3700707070004 5551060605006 11102121210012