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20100111122112 = 263728703521041
BaseRepresentation
bin1001001000111111010111…
…11110111011111011000000
32122011112220022012102210020
410210133223332323323000
510113310011421401422
6110425510310533440
74143120330354360
oct444375376737300
978145808172706
1020100111122112
11644a4557a089a
122307652667280
13b2a580b2c4b8
144d6bc9d669a0
1524ccb3c2095c
hex1247ebfbbec0

20100111122112 has 112 divisors (see below), whose sum is σ = 60781141604352. Its totient is φ = 5742677790720.

The previous prime is 20100111122111. The next prime is 20100111122123. The reversal of 20100111122112 is 21122111100102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20100111122091 and 20100111122100.

It is not an unprimeable number, because it can be changed into a prime (20100111122111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38316312 + ... + 38837352.

Almost surely, 220100111122112 is an apocalyptic number.

It is an amenable number.

20100111122112 is an abundant number, since it is smaller than the sum of its proper divisors (40681030482240).

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

20100111122112 is a wasteful number, since it uses less digits than its factorization.

20100111122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549766 (or 549756 counting only the distinct ones).

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

Adding to 20100111122112 its reverse (21122111100102), we get a palindrome (41222222222214).

The spelling of 20100111122112 in words is "twenty trillion, one hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 28703 57406 86109 114812 172218 200921 229624 344436 401842 459248 521041 602763 688872 803684 918496 1042082 1205526 1377744 1563123 1607368 1836992 2084164 2411052 2755488 3126246 3214736 3647287 4168328 4822104 5510976 6252492 6429472 7294574 8336656 9644208 10941861 12504984 12858944 14589148 16673312 19288416 21883722 25009968 29178296 33346624 38576832 43767444 50019936 58356592 87534888 100039872 116713184 175069776 233426368 350139552 700279104 14955439823 29910879646 44866319469 59821759292 89732638938 104688078761 119643518584 179465277876 209376157522 239287037168 314064236283 358930555752 418752315044 478574074336 628128472566 717861111504 837504630088 957148148672 1256256945132 1435722223008 1675009260176 2512513890264 2871444446016 3350018520352 5025027780528 6700037040704 10050055561056 20100111122112