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20102021220112 = 24131943241490837
BaseRepresentation
bin1001001001000010111011…
…10101011000011100010000
32122011201211102101110122121
410210201131311120130100
510113322414413020422
6110430424022544024
74143215553052246
oct444413565303420
978151742343577
1020102021220112
116450245a13787
122307aa6298014
13b2a7c678a3c0
144d6d2b8dc796
1524cd767758c7
hex12485dd58710

20102021220112 has 160 divisors (see below), whose sum is σ = 45365525448320. Its totient is φ = 8549499248640.

The previous prime is 20102021220101. The next prime is 20102021220133. The reversal of 20102021220112 is 21102212020102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 40709158 + ... + 41199994.

It is an arithmetic number, because the mean of its divisors is an integer number (283534534052).

Almost surely, 220102021220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102021220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22682762724160).

20102021220112 is an abundant number, since it is smaller than the sum of its proper divisors (25263504228208).

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

20102021220112 is a wasteful number, since it uses less digits than its factorization.

20102021220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491161 (or 491155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20102021220112 its reverse (21102212020102), we get a palindrome (41204233240214).

The spelling of 20102021220112 in words is "twenty trillion, one hundred two billion, twenty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 241 247 304 344 482 494 559 688 817 964 988 1118 1634 1928 1976 2236 3133 3268 3856 3952 4472 4579 6266 6536 8944 9158 10363 10621 12532 13072 18316 20726 21242 25064 36632 41452 42484 50128 59527 73264 82904 84968 119054 134719 165808 169936 196897 238108 269438 393794 476216 490837 538876 787588 952432 981674 1077752 1575176 1963348 2155504 2559661 3150352 3926696 5119322 6380881 7853392 9325903 10238644 12761762 18651806 20477288 21105991 25523524 37303612 40954576 42211982 51047048 74607224 84423964 102094096 118291717 121236739 149214448 168847928 236583434 242473478 274377883 337695856 401013829 473166868 484946956 548755766 802027658 946333736 969893912 1097511532 1537792321 1604055316 1892667472 1939787824 2195023064 2247542623 3075584642 3208110632 4390046128 4495085246 5086543831 5213179777 6151169284 6416221264 8990170492 10173087662 10426359554 12302338568 17980340984 20346175324 20852719108 24604677136 29218054099 35960681968 40692350648 41705438216 58436108198 66125069803 81384701296 83410876432 96644332789 116872216396 132250139606 193288665578 233744432792 264500279212 386577331156 467488865584 529000558424 773154662312 1058001116848 1256376326257 1546309324624 2512752652514 5025505305028 10051010610056 20102021220112