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2011012021012 = 22197117918111503
BaseRepresentation
bin11101010000111001101…
…010000011101100010100
321010020202212220110221011
4131100321222003230110
5230422023034133022
64135502434502004
7265201516065421
oct35207152035424
97106685813834
102011012021012
1170595794a1a5
122858b7a34904
13117839b0a437
146d4951acd48
153749eb43977
hex1d439a83b14

2011012021012 has 96 divisors (see below), whose sum is σ = 3798860083200. Its totient is φ = 928680681600.

The previous prime is 2011012020973. The next prime is 2011012021013. The reversal of 2011012021012 is 2101202101102.

It is a junction number, because it is equal to n+sod(n) for n = 2011012020983 and 2011012021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012021013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174819253 + ... + 174830755.

It is an arithmetic number, because the mean of its divisors is an integer number (39571459200).

Almost surely, 22011012021012 is an apocalyptic number.

It is an amenable number.

2011012021012 is a deficient number, since it is larger than the sum of its proper divisors (1787848062188).

2011012021012 is a wasteful number, since it uses less digits than its factorization.

2011012021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011012021012 its reverse (2101202101102), we get a palindrome (4112214122114).

The spelling of 2011012021012 in words is "two trillion, eleven billion, twelve million, twenty-one thousand, twelve".

Divisors: 1 2 4 19 38 71 76 142 179 181 284 358 362 716 724 1349 2698 3401 3439 5396 6802 6878 11503 12709 12851 13604 13756 23006 25418 25702 32399 46012 50836 51404 64798 129596 218557 241471 244169 437114 482942 488338 615581 816713 874228 965884 976676 1231162 1633426 2059037 2082043 2300329 2462324 3266852 4118074 4164086 4600658 8236148 8328172 9201316 15517547 31035094 39121703 39558817 43706251 62070188 78243406 79117634 87412502 146191627 147825053 156486812 158235268 174825004 292383254 295650106 372685697 584766508 591300212 745371394 1490742788 2777640913 2808676007 5555281826 5617352014 7081028243 11110563652 11234704028 14162056486 26460684487 28324112972 52921368974 105842737948 502753005253 1005506010506 2011012021012