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21374332310500 = 2253134948166457
BaseRepresentation
bin1001101110000100110010…
…11111000001001111100100
32210200100212222011120111221
410313002121133001033210
510300144113032414000
6113243122133110124
74334146610636641
oct467023137011744
983610788146457
1021374332310500
1168a08923a82a4
1224925a4788344
13bc078b248850
1453c747956dc8
15270ede8d461a
hex1370997c13e4

21374332310500 has 96 divisors (see below), whose sum is σ = 50274202069728. Its totient is φ = 7891782912000.

The previous prime is 21374332310483. The next prime is 21374332310549. The reversal of 21374332310500 is 501323347312.

It can be written as a sum of positive squares in 16 ways, for example, as 21372110508004 + 2221802496 = 4622998^2 + 47136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321593272 + ... + 321659728.

It is an arithmetic number, because the mean of its divisors is an integer number (523689604893).

Almost surely, 221374332310500 is an apocalyptic number.

21374332310500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21374332310500 is an abundant number, since it is smaller than the sum of its proper divisors (28899869759228).

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

21374332310500 is a wasteful number, since it uses less digits than its factorization.

21374332310500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115970 (or 115958 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

Adding to 21374332310500 its reverse (501323347312), we get a palindrome (21875655657812).

The spelling of 21374332310500 in words is "twenty-one trillion, three hundred seventy-four billion, three hundred thirty-two million, three hundred ten thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 49481 66457 98962 132914 197924 247405 265828 332285 494810 643253 664570 863941 989620 1237025 1286506 1329140 1661425 1727882 2474050 2573012 3216265 3322850 3455764 4319705 4948100 6185125 6432530 6645700 8307125 8639410 12370250 12865060 16081325 16614250 17278820 21598525 24740500 32162650 33228500 43197050 64325300 80406625 86394100 107992625 160813250 215985250 321626500 431970500 3288358817 6576717634 13153435268 16441794085 32883588170 42748664621 65767176340 82208970425 85497329242 164417940850 170994658484 213743323105 328835881700 411044852125 427486646210 822089704250 854973292420 1068716615525 1644179408500 2137433231050 4274866462100 5343583077625 10687166155250 21374332310500