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20111020211112 = 23315123331775133
BaseRepresentation
bin1001001001010011101100…
…01101110011101110101000
32122012121001120120120120120
410210221312031303232220
510113444332133223422
6110434513010323240
74143654554161515
oct444516615635650
978177046516516
1020111020211112
116454043685926
122309797b89520
13b2b5cbc7634c
144d7542b3030c
1524d20180345c
hex124a76373ba8

20111020211112 has 128 divisors (see below), whose sum is σ = 50988745416960. Its totient is φ = 6609692620800.

The previous prime is 20111020211071. The next prime is 20111020211171. The reversal of 20111020211112 is 21111202011102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20111020211091 and 20111020211100.

It is an unprimeable number.

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, 267634698 + ... + 267709830.

It is an arithmetic number, because the mean of its divisors is an integer number (398349573570).

Almost surely, 220111020211112 is an apocalyptic number.

It is an amenable number.

20111020211112 is an abundant number, since it is smaller than the sum of its proper divisors (30877725205848).

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

20111020211112 is a wasteful number, since it uses less digits than its factorization.

20111020211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75843 (or 75839 counting only the distinct ones).

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

Adding to 20111020211112 its reverse (21111202011102), we get a palindrome (41222222222214).

The spelling of 20111020211112 in words is "twenty trillion, one hundred eleven billion, twenty million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 151 233 302 317 453 466 604 634 699 906 932 951 1208 1268 1398 1812 1864 1902 2536 2796 3624 3804 5592 7608 35183 47867 70366 73861 75133 95734 105549 140732 143601 147722 150266 191468 211098 221583 225399 281464 287202 295444 300532 382936 422196 443166 450798 574404 590888 601064 844392 886332 901596 1148808 1772664 1803192 11153011 11345083 17505989 22306022 22690166 23817161 33459033 34035249 35011978 44612044 45380332 47634322 52517967 66918066 68070498 70023956 71451483 89224088 90760664 95268644 105035934 133836132 136140996 140047912 142902966 190537288 210071868 267672264 272281992 285805932 420143736 571611864 2643404339 3596391311 5286808678 5549398513 7192782622 7930213017 10573617356 10789173933 11098797026 14385565244 15860426034 16648195539 21147234712 21578347866 22197594052 28771130488 31720852068 33296391078 43156695732 44395188104 63441704136 66592782156 86313391464 133185564312 837959175463 1675918350926 2513877526389 3351836701852 5027755052778 6703673403704 10055510105556 20111020211112