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10010200022212 = 221319471579136523
BaseRepresentation
bin1001000110101010111001…
…1010101001110011000100
31022102222002001101001211211
42101222232122221303010
52303001342201202322
633142342234541204
72052133042165345
oct221525632516304
938388061331754
1010010200022212
11320a335a46745
121158063897804
13577c5b40a120
142686d3a7c0cc
151255c5661b77
hex91aae6a9cc4

10010200022212 has 96 divisors (see below), whose sum is σ = 20293801113600. Its totient is φ = 4281059060352.

The previous prime is 10010200022171. The next prime is 10010200022213. The reversal of 10010200022212 is 21222000201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10010200022192 and 10010200022201.

It is not an unprimeable number, because it can be changed into a prime (10010200022213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73254183 + ... + 73390705.

It is an arithmetic number, because the mean of its divisors is an integer number (211393761600).

Almost surely, 210010200022212 is an apocalyptic number.

It is an amenable number.

10010200022212 is an abundant number, since it is smaller than the sum of its proper divisors (10283601091388).

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

10010200022212 is a wasteful number, since it uses less digits than its factorization.

10010200022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138185 (or 138183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10010200022212 its reverse (21222000201001), we get a palindrome (31232200223213).

The spelling of 10010200022212 in words is "ten trillion, ten billion, two hundred million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 13 19 26 38 47 52 76 94 188 247 494 611 893 988 1222 1579 1786 2444 3158 3572 6316 11609 20527 23218 30001 41054 46436 60002 74213 82108 120004 136523 148426 273046 296852 390013 546092 780026 964769 1410047 1560052 1774799 1929538 2593937 2820094 3549598 3859076 5187874 5640188 6416581 7099196 10375748 12833162 18330611 25666324 33721181 36661222 67442362 73322444 83415553 121915039 134884724 166831106 215569817 243830078 333662212 431139634 487660156 862279268 1584895507 2802407621 3169791014 4095826523 5604815242 6339582028 8191653046 10131781399 11209630484 16383306092 20263562798 40527125596 53245744799 106491489598 131713158187 192503846581 212982979196 263426316374 385007693162 526852632748 770015386324 2502550005553 5005100011106 10010200022212