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21134003144100 = 22352711914891911
BaseRepresentation
bin1001100111000101001001…
…10000000000010110100100
32202211101120000102222002220
410303202210300000112210
510232224414301102400
6112540454345032340
74310611204505220
oct463424460002644
982741500388086
1021134003144100
1168089758a3510
122453ab2a856b0
13ba3c0a906902
14530c696a1780
15269b25b077a0
hex1338a4c005a4

21134003144100 has 144 divisors (see below), whose sum is σ = 76236113243136. Its totient is φ = 4391481168000.

The previous prime is 21134003144077. The next prime is 21134003144113. The reversal of 21134003144100 is 144130043112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457422856 + ... + 457469055.

Almost surely, 221134003144100 is an apocalyptic number.

21134003144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21134003144100 is an abundant number, since it is smaller than the sum of its proper divisors (55102110099036).

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

21134003144100 is a wasteful number, since it uses less digits than its factorization.

21134003144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914891946 (or 914891939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21134003144100 its reverse (144130043112), we get a palindrome (21278133187212).

The spelling of 21134003144100 in words is "twenty-one trillion, one hundred thirty-four billion, three million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 914891911 1829783822 2744675733 3659567644 4574459555 5489351466 6404243377 9148919110 10063811021 10978702932 12808486754 13723378665 18297838220 19212730131 20127622042 22872297775 25616973508 27446757330 30191433063 32021216885 38425460262 40255244084 45744595550 50319055105 54893514660 60382866126 64042433770 68616893325 70446677147 76850920524 91489191100 96063650655 100638110210 120765732252 128084867540 137233786650 140893354294 150957165315 160106084425 192127301310 201276220420 211340031441 251595275525 274467573300 281786708588 301914330630 320212168850 352233385735 384254602620 422680062882 480318253275 503190551050 603828661260 640424337700 704466771470 754785826575 845360125764 960636506550 1006381102100 1056700157205 1408933542940 1509571653150 1761166928675 1921273013100 2113400314410 3019143306300 3522333857350 4226800628820 5283500786025 7044667714700 10567001572050 21134003144100