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20002203200322 = 23272411372940289
BaseRepresentation
bin1001000110001001000000…
…01101110110101101000010
32121211012011221011200022200
410203010200031312231002
510110204003004402242
6110312515120214030
74133053145640300
oct443044015665502
977735157150280
1020002203200322
116411983283052
1222b068946a316
13b21279895c75
144d217cacd270
1524a4834d604c
hex123120376b42

20002203200322 has 144 divisors (see below), whose sum is σ = 51648362602200. Its totient is φ = 5574982533120.

The previous prime is 20002203200297. The next prime is 20002203200323. The reversal of 20002203200322 is 22300230220002.

20002203200322 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 2 + 20 + 320 + 0 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16465813880481 + 3536389319841 = 4057809^2 + 1880529^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20002203200295 and 20002203200304.

It is not an unprimeable number, because it can be changed into a prime (20002203200323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 496447954 + ... + 496488242.

Almost surely, 220002203200322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002203200322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824181301100).

20002203200322 is an abundant number, since it is smaller than the sum of its proper divisors (31646159401878).

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

20002203200322 is a wasteful number, since it uses less digits than its factorization.

20002203200322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54081 (or 54071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20002203200322 its reverse (22300230220002), we get a palindrome (42302433420324).

The spelling of 20002203200322 in words is "twenty trillion, two billion, two hundred three million, two hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 4018 5166 6027 12054 13729 18081 27458 36162 40289 41187 80578 82374 96103 120867 123561 192206 241734 247122 282023 288309 362601 562889 564046 576618 672721 725202 846069 864927 1125778 1345442 1651849 1688667 1692138 1729854 1974161 2018163 2538207 3303698 3377334 3940223 3948322 4036326 4955547 5066001 5076414 5922483 6054489 7880446 9911094 10132002 11562943 11820669 11844966 12108978 14866641 17767449 23125886 23641338 27581561 29733282 34688829 35462007 35534898 55163122 69377658 70924014 80940601 82744683 104066487 161881202 165489366 208132974 242821803 248234049 485643606 496468098 553127681 728465409 1106255362 1456930818 1659383043 3318766086 3871893767 4978149129 7743787534 9956298258 11615681301 22678234921 23231362602 27103256369 34847043903 45356469842 54206512738 68034704763 69694087806 81309769107 136069409526 158747644447 162619538214 204104114289 243929307321 317495288894 408208228578 476242933341 487858614642 952485866682 1111233511129 1428728800023 2222467022258 2857457600046 3333700533387 6667401066774 10001101600161 20002203200322